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 one
daughter.
Primary School 
Şehitlioğlu Köyü İlkokulu 
19841989 
Secondary School 
Selendi Yatılı İlköğretim Bölge Okulu 
19891992 
High School 
Manisa Lisesi 
19921995 
B.Sc. 
Balikesir University, Faculty of Arts and Sciences, Dep. Math. 
19951999 
M.Sc. M.Sc. Thesis 
Balikesir University,
Institute of Science, Math Approximation by polynomials in L^{2}(G), Balikesir, 2003, 62 pp 
19992003 Supervisor :Prof. Dr. Daniyal M. ISRAFILOV 
PhD Ph.D. Thesis 
Balikesir University,
Institute of Science, Math Approximation by polynomials in SmirnovOrlicz spaces, 2007, 
20032007 Supervisor : Prof. Dr. Daniyal M. ISRAFILOV 
Teacher in Mathematics

Republic of Turkey
Ministry of National Education

19992003

Research Assistant

Balikesir University,
Faculty of Arts and Science

20032008

Assist. Prof. Dr.

Balikesir University,

20082010

Assoc. Prof. Dr.

Mathematics (Balikesir
University)

20102015

Postdoctoral Research
Fellow

Centre de Recerca
Matemática, Universited Autonoma de Barcelona, Spain

20122013 
Prof. Dr.

Balikesir University

2015Pres.

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.
Hacı
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,
continue.
PhD Sudents:
Hüseyin
Koç, “Polynomial approximation in Orlicz spaces”, Balikesir University, Institute of Science, 2015.
Analysis,
Harmonic Analysis, Weighted
Polynomial Approximation of
real functions,
Complex Polynomial Approximation
Languages:
English (upperintermediate,YDS 76,25),
Russian (reading)
Approximation by Faber polynomials
in the SmirnovOrlicz spaces 17. National Mathematics Symposium, Bolu, August, 2004.
Approximation properties
of Interpolating polynomials
in the SmirnovOrlicz class, International
Conference on “Constructive theory
of functions”, 17 June
2005, Varna, Bulgaria.
Polynomial approximation
in weighted SmirnovOrlicz space, International
Workshop on function Spaces,
Integral Operators and Applications in PDE, August
31 September 5, 2005, Tbilisi,
Georgia.
Approximation properties
of weighted SmirnovOrlicz spaces, 18. National Mathematics Symposium, 58 September 2005, Istanbul Culture University.
Approximation by polynomials in weighted rearrangement invariant spaces, 19. National Mathematics Symposium, 2225 August 2006, Dumlupinar University, Kutahya.
Fractional Modulus of Smoothness and Approximation Theorems in Orlicz spaces, International Symposium on Geometric Function theory and Applications, 2024 August,
2007, Istanbul Culture University, Istanbul.
Approximation by Rational Functions in Weighted SmirnovOrlicz Classes, International Society for Analysis, Its applications and Computation (ISAAC Conference
2007), 1218 August 2007, METU, Ankara.
Approximation of Functions
of Weighted Lebesgue and Smirnov Spaces,
International Symposium on Analysis and Theory of Functions,
2426 August 2009, Istanbul
Culture University, Istanbul.
Approximation by polynomials in weighted Lebesgue spaces, 22. National Mathematics Symposium, 31 August03 September
2009, Nesin Mathematics Village,
Sirince, Selcuk, Izmir.
One sided approximation in Orlicz spaces, Ankara Mathematics Days, 0304 June, 2010.
Approximation by interpolating polynomials in weighted symmetric Smirnov spaces, Ankara Mathematics Days, 0203 June, 2011.
Inequalities of trginometric
approximation in weighted Orlicz spaces and
their exactness, 24. National Mathematics Symposium, Uludag University, 710 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, 0209 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 201402 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)
Fellowships and grants:
Polynomial Approximation
in Bergman spaces; Postdoctoral
Research Fellowship of
TUBITAK 2219, Centre de Recerca
Matemática, Universited
Autonoma de Barcelona, Spain,
20122013.
Mixed
modulus of continuity in weighted Lebesgue spaces and approximation
problems,
Scientific Research and Projects
department of Balikesir
University, with contract number 2014/58.
Approximation by polynomials in Orlicz spaces, Scientific Research
and Projects department of Balikesir University, with
contract number
2015/132.
Approximation problems
in Smirnov Orlicz spaces, Scientific Research and Projects
department of Balikesir University, with
contract number
2006/40.
Weighted Lebesgue spaces and approximation by angle, Scientific Research
and Projects department of Balikesir University,
with contract
number 2016/.
Teaching:
Graduate: Function Spaces, Bergman spaces, Approximation theory, Fourier Analysis
Undergraduate:
Mathematics for Engineers, Calculus, Analysis, Functional
Analysis, Real Analysis, Lebesgue Integral
Publication List:
Jackson and inverse inequalities in rearrangement invariant Banach function spaces on Dinismooth domains, 2017, to be appear in Az J Math.
Mixed modulus of continuity in Lebesgue spaces with Muckenhoupt
weights, Turk. J. Math., 2016,
2016 Improved direct and converse theorems in weighted Lorentz spaces, Bull. Belg. Math. Soc. Simon
Stevin 23 (2016), 1–16. (jointly
with Y.E.Yildirir)
Polynomial approximation
in Bergman spaces, Ukrainian Mat. Zh., 68 (2016), No:4, 435448.
Some inequalities of trigonometric approximation in weighted Orlicz spaces, Math. Slovaca 66 (2016), No:1,
118.
Simultaneous approximation of functions in Orlicz spaces with
Muckenhoupt weights, Complex Var. Elliptic Equ. 2016, http://dx.doi.org/10.1080/17476933.2016.1142538
(jointly with H. Koç)
2015 Realization and characterization
of modulus of smoothness in
weighted Lebesgue spaces, St. Petersburg Math. J. 26 (2015),
741756; Eng. Trans. of Algebra i Analiz, 26:5
(2014), 64–87.
JacksonStechkin type inequality
in weighted Lorentz spaces, Mathematical Inequalities
& Applications, Volume
18, Number 4 (2015), 1283–1293, (jointly
with Y.E.Yildirir)
2013
Improved converse theorems and fractional moduli of smoothness in Orlicz spaces, Bull. Malays. Math. Sci. Soc. (2), Vol. 36, No.
1 (2013), 49–62.
Some notes on trigonometric
approximation of (\alpha,\psi)differentiable functions in weighted variable
exponenet Lebesgue
spaces, Proceedings of A. Razmadze
Math. Inst. Vol. 161 (2013), 1523 (jointly
with V. Kokilashvili).
2012
Approximation by interpolating polynomials in weighted symmetric Smirnov spaces, Hacettepe journal of mathematics and statistics, Volume 41 (5) (2012), 643649 (jointly with Hüseyin Koç.)
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).
Some Approximation Problems for (α,ψ)differentiable functions in weighted
variable exponent Lebesgue spaces, [In Russian] Probl. Mat. Anal. 66, 314
(2012); English Transl. J. Math. Sci., New York, Vol.
186, No. 2, 139152 (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.113131.
Approximation
of Functions of Weighted Lebesgue and Smirnov Spaces,
Mathematica (Cluj), Tome 54 (77), No: Special (2012), pp. 2536.
Approximation
by trigonometric polynomials of functions having (α, ψ)
derivatives in weighted variable exponent Lebesgue spaces, [In Russian] Probl.
Mat. Anal. 65, 312 (2012); English Transl. J. Math. Sci.,
New York, Vol. 184, No. 4, 371382
(2012). (jointly with V. Kokilashvili)
Approximating polynomials
for functions of weighted SmirnovOrlicz spaces, J. Funct. Spaces Appl. Volume 2012, Article
ID 982360, 41 pages.
2011 Polynomial approximation in weighted
Lebesgue spaces, East Journal on Approximations, vol: 17, no 3, (2011), pp.
253266.
The refined direct and converse inequalities
of trigonometric approximation in weighted variable exponent Lebesgue spaces,
Georgian Math. J., Volume: 18 Issue: 3 (2011), pp.
399423. (jointly with V. Kokilashvili)
Polynomial approximation of functions in
weighted Lebesgue and Smirnov spaces with nonstandart growth, Georgian Math. J., Volume: 18 Issue: 2
(2011), pp. 203235.
Inequalities
for one sided
approximation in Orlicz spaces, Hacettepe journal of mathematics and
statistics, Volume: 40 Issue: 2 (2011), pp. 231240.
Trigonometric
approximation of functions
in generalized Lebesgue spaces with variable exponent, Ukrainian Math. J., Volume: 63 Issue: 1 (2011), pp. 126.
On converse theorems of trigonometric approximation in weighted
variable exponent Lebesgue spaces, Banach Journal of Mathematical
Analysis, 5 (2011), no:1, pp. 7082
(jointly with V. Kokilashvili)
Approximation in weighted
Orlicz spaces, Math. Slovaca, Volume: 61
Issue: 4 (2011), pp. 601618 (jointly
with D.
M. Israfilov)
2010 Sharp Jackson and
converse theorems of trigonometric approximation in
weighted Lebesgue spaces, Proc.
A. Razmadze Math. Inst., 152 (2010), pp. 118.
Simultaneous and converse approximation
theorems in weighted Orlicz spaces, Bull. Belg. Math. Soc. Simon Stevin, 17
(2010), no:1, pp. 1328, (jointly with D. M. Israfilov).
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 2426, 2009), Mathematica (Cluj), Tome 54
(77), No: Special (2012), pp. 2536.
2008 Approximation by
polynomials and rational
functions in weighted rearrangement invariant spaces, J.
Math. Anal. Appl. 346 (2008), 489500. (jointly with
D. M. Israfilov).
Approximation and moduli of fractional order in SmirnovOrlicz classes, Glas. Mat. Ser. III, 42 (2008),
no:1, pp. 121136. (jointly
with D. M. Israfilov).
2007
Approximation by polynomials in SmirnovOrlicz spaces, Ph.D. Thesis,
Balikesir University, Institute of Sciences, Department of Mathematics, Balikesir, 2007, 70 pp. Supervisor : Prof. Dr. Daniyal
M. ISRAFILOV
2006 Approximation by polynomials in weighted SmirnovOrlicz space, J.
Math. Kyoto Univ., 46, (2006), no: 4, pp. 755770 (jointly with D. M. Israfilov).
Approximation
by interpolating polynomials in SmirnovOrlicz class, J. Korean Math. Soc, 43 (2006), no: 2, pp. 413424 (jointly with D. M. Israfilov).
2005 Polynomial approximation
in weighted SmirnovOrlicz space, Proc. A. Razmadze Math. Inst.
139 (2005), pp. 8992 (jointly with D. M. Israfilov).
Approximation
in SmirnovOrlicz classes, Glas.
Mat. Ser. III 40
(2005), no. 1, pp. 87102. (jointly with D. M. Israfilov and B.
Oktay).
2003 Approximation by polynomials in L^{2}(G), M.Sc. Thesis, Balikesir
University, Institute of Sciences, Department of Mathematics, Balikesir, 2003, 62 pp. Supervisor :
Prof. Dr. Daniyal M. ISRAFILOV
Recent Preprints: Ul'yanov inequalities
and $(\psi,\beta)$derivatives in Lebesgue spaces with Muckenhoupt
weights,
Generalized derivatives
and approximation in weighted Lorentz spaces (jointly with Y.E.Yildirir)