Speciality:
01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
2.09.1977
E-mail: Website: https://w3.balikesir.edu.tr/~rakgun Keywords: Approximation by polynomials,
Inequalities in approximation (Bernstein,
Jackson,
Nikolʹskiĭ-type inequalities),
Rate of convergence,
Inverse theorems,
Simultaneous approximation,
Best constants,
Spaces of measurable functions ($L_p$-spaces,
Orlicz spaces,
Lorentz spaces,
rearrangement invariant spaces,
etc.).
Subject:
Approximations and Expansions
Harmonic analysis on Euclidean spaces
Main publications:
Ramazan Akgun, “Improved converse theorems and fractional moduli of smoothness in Orlicz spaces”, Bull. Malays. Math. Sci. Soc. (2), 36:1 (2013), 49-62
Ramazan Akgun, “Approximating polynomials for functions of weighted Smirnov-Orlicz spaces”, J. Funct. Spaces Appl., 2012 (2012), 1–41
Ramazan Akgun and Vakhtang Kokilashvili, “The refined estimates of trigonometric approximation for functions with generalized derivatives in weighted variable exponent Lebesgue spaces”, Georgian Math. J., 19:4 (2012), 611–626
Ramazan Akgun, “Trigonometric approximation of functions in generalized Lebesgue spaces with variable exponent”, Ukrainian Math. J., 63:1 (2011), 1–26
Ramazan Akgun, “Inequalities for one sided approximation in Orlicz spaces”, Hacettepe journal of mathematics and statistics, 40:2 (2011), 231–240