CURRICULUM VITAE

RAMAZAN AKGÜN

Professor at Balikesir University

Address:

Balikesir University, Faculty of Arts and Sciences Department of Mathematics, 10145, Cagis Yerleskesi,

Balikesir, TURKEY

Tel: +902666121278,    GSM: 05428374878

Fax:    +902666121110

Email:    rakgun@balikesir.edu.tr, akgunr@gmail.com

Personal:                  

Citizenship: Republic of Turkey

Date of Birth/Place: 1977 September;  Manisa; Married, have one son and three daughter.

Education:

B.Sc.: Balikesir University, Faculty of Arts and Sciences, Dep. Math. 1995-1999.

M.Sc.: Balikesir  University, Institute of Science, Math., 1999-2003,

M.Sc. Thesis: Approximation by polynomials in L²(G), Balikesir, 2003,  62 pp. Supervisor : Prof. Dr. Daniyal M. ISRAFILOV

PhD: Balikesir University, Institute of Science,  Math., 2003-2007.

Ph.D. Thesis, Approximation by polynomials in Smirnov-Orlicz spaces, 2007, 70 pp. Supervisor : Prof. Dr. Daniyal M. ISRAFILOV

Academic Career:

Research Assistant: Balikesir University, Faculty of Arts and Science, 2003-2008

Assist. Prof. Dr.: Balikesir University, Faculty of Arts and Science, 2008-2010

Assoc. Prof. Dr.: Balikesir University, Faculty of Arts and Science, 2010-2015

Post-doctoral Research Fellow: Centre de Recerca Matemática, Universited Autonoma de Barcelona, Spain, 2012-2013

Prof. Dr.: Balikesir University, Faculty of Arts and Science, 2015-Present.

PhD Sudents:

Hüseyin Koç, “Polynomial approximation in Orlicz spaces”, Balikesir University, Institute of Science, 2015.

Research Interests:

Analysis, Harmonic and Fourier Analysis, Weighted Polynomial Approximation of real functions, Complex Polynomial Approximation

Languages:

English (88,75), Russian (reading)

MSc Students:

Hüseyin Koç, “Convergence of interpolating polynomials in symmetric function spaces”, Balikesir University, Institute of Science, 2011.

Ömer Kamış, “Approximation by Poisson polynomials in weighted Symmetric Smirnov spaces, Balikesir University, Institute of Science, 2012.

H. Bekir Meydan, “Approximation problems of Differentiable functions in Lebesgue spaces”, Balikesir University, Institute of Science,2015.

Ali Kaya, “Mixed Lebesgue spaces and mixed modulus of smoothness”, Continue.

Uğur Yiğitaslan, "Mixed Lebesgue spaces, mixed modulus of smoothness and approximation", Continue.

Hacı Çetin, "Bergman spaces and Storozhenko's modulus", Continue.

Merve Nur Bağcı, "Multivariate functions and approximation problems", Continue.

Fellowships and grants:

Polynomial Approximation in Bergman spaces;

Post-doctoral Research Fellowship of TUBITAK 2219, Centre de Recerca Matemática, Universited Autonoma de Barcelona, Spain, 2012-2013. Finished.

Mixed modulus of continuity in weighted Lebesgue spaces and approximation problems,

Scientific Research and Projects of Balikesir University, with contract number 2014/58. Finished.

Approximation by polynomials in Orlicz spaces,

Scientific Research and Projects of Balikesir University, with contract number 2015/132. Finished.

Approximation problems in Smirnov Orlicz spaces, Scientific Research and Projects of Balikesir University, with contract number 2006/40. Finished.

Weighted Lebesgue spaces and approximation by angle, Scientific Research and Projects of Balikesir University, with contract number 2016/58. Finished.

Jackson inequalities of monotone two sided approximation, Scientific Research and Projects of Balikesir University, with contract number 2017/185. Finished.

Teaching:

Graduate: Function Spaces, Bergman spaces, Approximation theory, Fourier Analysis

Undergraduate: Mathematics for Engineers, Calculus, Analysis, Functional Analysis, Real Analysis, Lebesgue Integral

Conference Talks:

*Approximation by Faber polynomials in the Smirnov-Orlicz spaces,

17. National Mathematics Symposium, Bolu, August, 2004.

*Approximation properties of Interpolating polynomials in the Smirnov-Orlicz class,

International Conference on “Constructive theory of functions”, 1-7 June 2005, Varna, Bulgaria.

*Polynomial approximation in weighted Smirnov-Orlicz space, International Workshop on function Spaces, Integral Operators and Applications in PDE, August 31- September 5, 2005, Tbilisi, Georgia.

*Approximation properties of weighted Smirnov-Orlicz spaces, 18. National Mathematics Symposium, 5-8 September 2005, Istanbul Culture University.

*Approximation by polynomials in weighted rearrangement invariant spaces, 19. National Mathematics Symposium, 22-25 August 2006, Dumlupinar University, Kutahya.

*Fractional Modulus of Smoothness and Approximation Theorems in Orlicz spaces,

International Symposium on Geometric Function theory and Applications, 20-24 August, 2007, Istanbul Culture University, Istanbul.

*Approximation by Rational Functions in Weighted Smirnov-Orlicz Classes, International Society for Analysis, Its applications and Computation (ISAAC Conference 2007), 12-18 August 2007, METU, Ankara.

*Approximation of Functions of Weighted Lebesgue and Smirnov Spaces, International Symposium on Analysis and Theory of Functions, 24-26 August 2009, Istanbul Culture University, Istanbul.

*Approximation by polynomials in weighted Lebesgue spaces, 22. National Mathematics Symposium, 31 August-03 September 2009, Nesin Mathematics Village, Sirince, Selcuk, Izmir.

*One sided approximation in Orlicz spaces, Ankara Mathematics Days, 03-04 June, 2010.

*Approximation by interpolating polynomials in weighted symmetric Smirnov spaces, Ankara Mathematics Days, 02-03 June, 2011.

*Inequalities of trginometric approximation in weighted Orlicz spaces and their exactness,

24. National Mathematics Symposium, Uludag University, 7-10 September 2011, Bursa.

*Jackson and smoothness theorems for trigonometric approximation in some Banach

Function Spaces, International Society for Analysis, Its applications and Computation, ISAAC Conference 2013, 02-09 August, Krakow, Polland.

*Approximation by partial sum of the trigonometric Fourier series in Orlicz spaces, VII International symposium "Fourier series and their applications", 27 may 2014-02 june 2014, Abrau dyurso, Novorrosisyk, Camp Moryak, Russia.

*Approximation by polynomials in Bergman spaces, International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii (May 25–29 2015, Steklov Mathematical Institute of RAS, Moscow)

* Some mixed means of Fourier series in Lebesgue spaces L_{p,\omega}(T^d) with Muckenhoupt weights \omega, ICRAPAM 2016, 19-23 May, Muğla, Turkey

* Fractional order weighted mixed modulus of smoothness, ICAMA 2016, 11-13 July, Atilim University, Ankara, Turkey.

* Characterization of mixed modulus of smoothness in weighted Lp spaces, ICAA2016, 12-15 July, Ahi Evran University, Kırşehir, Turkey,

* Realization functional in lebesgue spaces with muckenhoupt weights, International conference "Theory of approximation of functions and its applications" Sloviansk, 28 may-03 June 2017, Ukraine.

* Mixed modulus of continuity in the lebesgue spaces with muckenhoupt weights,

International Conference "Theory of approximation of functions and its applications", Sloviansk, 28 may-03 June 2017, Ukraine.

* Weighted Orlicz Spaces And Trigonometric Approximation of Functions, International Conference on Applied Analysis and Mathematical Modeling, ICAAMM17, July 3-7, 2017, Istanbul-Turkey.

* Convolution Inequalities and Musielak Orlicz spaces, International Conference on Applied Analysis and Mathematical Modeling, ICAAMM17, July 3-7, 2017, Istanbul-Turkey.

* Realization and angular approximation in weighted Lebesgue spaces, ICAS2017, 12-15 September, Yildiz Technical University, Istanbul, Turkey.

* Modulus of smoothness in Bergman spaces, ICAS2017, 12-15 September, Yildiz Technical University, Istanbul, Turkey.

*Musielak Orlicz spaces and approximation problems, ICOMAA18, 11-13 May 2018, Yildiz Technical University, Istanbul, Turkey.

*A modulus of smoothness for some Banach function spaces, ICOMAA18, 11-13 May 2018, Yildiz Technical University, Istanbul, Turkey.

Publication List:

Accepted:

*Convolution and Jackson inequalities in Musielak Orlicz spaces, Turk. J. Math. (Jointly with Y. E. YILDIRIR) SCI-Exp

*Approximation by integral functions of finite degree in variable exponent Lebesgue spaces on the real axis, Turk. J. Math. (Jointly with ARASH GHORBANALIZADEH) SCI-Exp

*Mixed modulus of smoothness with Muckenhoupt weights and approximation by angle, Complex Var. Elliptic Equ. SCI-Exp

*Two sided monotone approximation in Orlicz spaces, Hacet. J. Math. Stat., (Jointly with Hüseyin KOÇ) SCI-Exp

2018 *Gadjieva’s conjecture, K-functionals and some applications in Lebesgue spaces, Turk. J. Math., 42 (2018), No:3, 1484-1503. SCI-Exp

*Jackson and inverse inequalities in rearrangement invariant Banach function spaces on Dini-smooth domains, Azerbaijan J. Math., (2018), No:2 , 2218-6816. ESCI

2017 *Generalized derivatives and approximation in weighted Lorentz spaces, Bull. Belg. Math. Soc. Simon Stevin, 24 (2017), No:3, 353-366. (J W Y. E. YILDIRIR) SCI-Exp

2016 *Some convolution inequalities in Musielak Orlicz spaces, Proc. Inst. Math. Mech., NAS Azerbaijan, 42 (2016), No: 2, 279-291. ESCI

*Characterization of mixed modulus of smoothness in weighted L^p spaces, J. Num. An. Appr. Th. 45 (2016), No: 2, 99-108.

*Mixed modulus of continuity in Lebesgue spaces with Muckenhoupt weights, Turk. J. Math., 40 (2016), No: 6, 1169-1192. SCI-Exp

*Improved direct and converse theorems in weighted Lorentz spaces, Bull. Belg. Math. Soc. Simon Stevin, 23 (2016), No: 2, 247-262. (jointly with Y.E.Yildirir) SCI-Exp

*Polynomial approximation in Bergman spaces, Ukrainian Math. J., 68 (2016), No: 4, 485-501, (Vol. 68 (2016), No. 4, 435-448). SCI-Exp

*Some inequalities of trigonometric approximation in weighted Orlicz spaces, Math. Slovaca 66 (2016), No:1, 217-234. SCI-Exp

*Simultaneous approximation of functions in Orlicz spaces with Muckenhoupt weights, Complex Var. Elliptic Equ., 61 (2016), No:8, 1107-1115. (Jointly with H. Koç) SCI-Exp

2015 *Realization and characterization of modulus of smoothness in weighted Lebesgue spaces, St. Petersburg Math. J. 26 (2015), 741-756. SCI-Exp

*Jackson-Stechkin type inequality in weighted Lorentz spaces, Math. Inequal. Appl., 18 (2015), No: 4, 1283-1293, (jointly with Y.E.Yildirir) SCI-Exp

2014 * Realization and characterization of modulus of smoothness in weighted Lebesgue spaces, Algebra i Analiz, 26 (2014), No:5, 64–87.

2013 *Improved converse theorems and fractional moduli of smoothness in Orlicz spaces, Bull. Malays. Math. Sci. Soc.(2), 36 (2013), No: 1, 49-62. SCI-Exp

*Some notes on trigonometric approximation of (\alpha,\psi)-differentiable functions in weighted variable exponenet Lebesgue spaces, Proc. A. Razmadze Math. Inst. Vol. 161 (2013), 15-23 (jointly with V. Kokilashvili).

2012 *Approximation by interpolating polynomials in weighted symmetric Smirnov spaces, Hacet. J. Math. Stat., Volume 41 (5) (2012), 643- 649 (jointly with Hüseyin Koç.) SCI-Exp

*The refined estimates of trigonometric approximation for functions with generalized derivatives in weighted variable exponent Lebesgue spaces, Georgian Math. J. 19 (2012), 611–626. (jointly with V. Kokilashvili). SCI-Exp

*Some Approximation Problems for (α,ψ)-differentiable functions in weighted variable exponent Lebesgue spaces, J. Math. Sci., New York, Vol. 186, No. 2, 139-152 (2012). (jointly with V. Kokilashvili)

*Approximation by polynomials in rearrangement invariant quasi Banach function spaces, Banach J. Math. Anal. Vol:6, No:2 (2012), pp.113-131. SCI-Exp

* Approximation of Functions of Weighted Lebesgue and Smirnov Spaces, Mathematica (Cluj), Tome 54 (77), No: Special (2012), pp. 25-36.

* Approximation by trigonometric polynomials of functions having (α, ψ)- derivatives in weighted variable exponent Lebesgue spaces, J. Math. Sci., New York, Vol. 184, No. 4, 371-382 (2012). (jointly with V. Kokilashvili)

*Approximating polynomials for functions of weighted Smirnov-Orlicz spaces, J. Funct. Spaces Appl. Volume 2012, Article ID 982360, 41 pages. SCI-Exp

2011 * Polynomial approximation in weighted Lebesgue spaces, East J. Approx., vol: 17, no 3, (2011), pp. 253-266.

*The refined direct and converse inequalities of trigonometric approximation in weighted variable exponent Lebesgue spaces, Georgian Math. J., Volume: 18, Issue: 3 (2011), pp. 399-423. (jointly with V. Kokilashvili) SCI-Exp

*Polynomial approximation of functions in weighted Lebesgue and Smirnov spaces with non-standart growth, Georgian Math. J., Volume:18, Issue: 2 (2011), pp. 203-235. SCI-Exp

* Inequalities for one sided approximation in Orlicz spaces, Hacet. J. Math. Stat.,  40: 2 (2011), pp. 231-240. SCI-Exp

*Trigonometric approximation of functions in generalized Lebesgue spaces with variable exponent, Ukrainian Math. J., Volume: 63 Issue: 1 (2011), pp. 1-26. SCI-Exp

*On converse theorems of trigonometric approximation in weighted variable exponent Lebesgue spaces, Banach J. Math. Anal., 5 (2011), no:1, pp. 70-82 (jointly with V. Kokilashvili) SCI-Exp

*Approximation in weighted Orlicz spaces, Math. Slovaca, Volume: 61   Issue: 4 (2011), pp. 601-618 (jointly with D. M. Israfilov) SCI-Exp

2010 *Sharp Jackson and converse theorems of trigonometric approximation in weighted Lebesgue spaces, Proc. A. Razmadze Math. Inst., 152 (2010), pp. 1-18.

*Simultaneous and converse approximation theorems in weighted Orlicz spaces, Bull. Belg. Math. Soc. Simon Stevin, 17 (2010), no:1, pp. 13-28, (jointly with D. M. Israfilov). SCI-Exp

2009 * Approximation of Functions of Weighted Lebesgue and Smirnov Spaces, (Proceedings of the Analysis and Theory of Functions - Nâzım Terzioğlu Memorial Symposium, Istanbul, Turkey, August 24-26, 2009), Mathematica (Cluj), Tome 54 (77), No: Special (2012), pp. 25-36.

2008 *Approximation by polynomials and rational functions in weighted rearrangement invariant spaces, J. Math. Anal. Appl. 346 (2008), 489-500. (jointly with D. M. Israfilov). SCI

* Approximation and moduli of fractional order in Smirnov-Orlicz classes, Glas. Mat. Ser. III, 42 (2008), no:1, pp. 121-136. (jointly with D. M. Israfilov). SCI-Exp

2007 * Approximation by polynomials in Smirnov-Orlicz spaces, Ph.D. Thesis, Balikesir University, Institute of Sciences, Mathematics, Balikesir, 2007, 70 pp. Supervisor : Prof. Dr. Daniyal M. ISRAFILOV.

2006 * Approximation by polynomials in weighted Smirnov-Orlicz space, J. Math. Kyoto Univ., 46, (2006), no: 4, pp. 755-770 (jointly with D. M. Israfilov). SCI-Exp

* Approximation by interpolating polynomials in Smirnov-Orlicz class, J. Korean Math. Soc, 43 (2006), no: 2, pp. 413-424 (jointly with D. M. Israfilov). SCI-Exp

2005 * Polynomial approximation in weighted Smirnov-Orlicz space, Proc. A. Razmadze Math. Inst. 139 (2005), pp. 89-92 (jointly with D. M. Israfilov).

* Approximation in Smirnov-Orlicz classes, Glas. Mat. Ser. III 40 (2005), no. 1, pp. 87-102. (jointly with D. M. Israfilov and B. Oktay).

2003 * Approximation by polynomials in L²(G), M.Sc. Thesis, Balikesir University, Institute of Sciences, Mathematics, Balikesir, 2003, 62 pp. Supervisor : Prof. Dr. Daniyal M. ISRAFILOV