Yazar "Akgün, Ramazan" için listeleme
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Ağırlıklı simetrik Smirnov uzaylarında poisson polinomlarıyla yaklaşım
Kamış, Ömer (Balıkesir Üniversitesi Fen Bilimleri Enstitüsü, 2012)Bu çalışmanın amacı analitik fonksiyonların bazı sınıflarında yaklaşım teorisinin bazı problemlerini incelemektir. Bu tez beş bölümden oluşmaktadır. Birinci bölümde yaklaşım teorisi ve kompleks düzlemde bu teorinin gelişimi ... -
Approximating polynomials for functions of weighted smirnov-orlicz spaces
Akgün, Ramazan (Hindawi Ltd, 2012)Let G(0) and G(infinity) be, respectively, bounded and unbounded components of a plane curve Gamma satisfying Dini's smoothness condition. In addition to partial sum of Faber series of f belonging to weighted Smirnov-Orlicz ... -
Approximation and moduli of fractional orders in smirnov-orlicz classes
Akgün, Ramazan; İsrafilov, Daniyal M. (Croatian Mathematical Soc, 2008)In this work we investigate the approximation problems in the Smirnov-Orlicz spaces in terms of the fractional modulus of smoothness. We prove the direct and inverse theorems in these spaces and obtain a constructive ... -
Approximation by integral functions of finite degree in variable exponent lebesgue spaces on the real axis
Akgün, Ramazan; Ghorbanalizadeh, Arash (Scientific Technical Research Council Turkey-Tubitak, 2018)We obtain several inequalities of approximation by integral functions of finite degree in generalized Lebesgue spaces with variable exponent defined on the real axis. Among them are direct, inverse, and simultaneous estimates ... -
Approximation by interpolating polynomials in Smirnov-Orlicz class
Akgün, Ramazan; Israfilov, Daniyal M. (Korean Mathematical Soc, 2006)Let F be a bounded rotation (BR) curve without cusps in the complex plane C and let G : = int Gamma. We prove that the rate of convergence of the interpolating polynomials based on the zeros of the Faber polynomials F-n ... -
Approximation by interpolating polynomials in weighted symmetric smirnov spaces
Akgün, Ramazan; Koç, Hüseyin (Hacettepe University, 2012)Let Gamma subset of C be a closed BR curve without cusps. In this work approximation by complex interpolating polynomials in a Weighted Symmetric Smirnov Space is studied. It is proved that the convergence rate of complex ... -
Approximation by polynomials and rational functions in weighted rearrangement invariant spaces
Israfilov, Daniyal M.; Akgün, Ramazan (Academic Press Inc Elsevier Science, 2008)Let Gamma be a Dini-smooth curve in the complex plane, and let G := lnt Gamma. We prove some direct and inverse theorems of approximation theory by algebraic polynomials and rational functions in the weighted rearrangement ... -
Approximation by polynomials in rearrangement invariant quasi banach function spaces
Akgün, Ramazan (Duke Univ Press, 2012)In the present work we deal with the approximation properties of certain linear polynomial operators in rearrangement invariant quasi Banach function spaces. We obtain some Jackson type direct theorem and sharp converse ... -
Approximation by trigonometric polynomials of functions having (α, ψ)- derivatives in weighted variable exponent lebesgue spaces
Akgün, Ramazan; Kokilashvili, V. M. (2012)We prove direct simultaneous and converse approximation theorems by trigonometric polynomials for functions f and (α, ψ)-derivatives of f in weighted Lebesgue spaces with variable exponent. Bibliography: 11 titles. -
Approximation in weighted orlicz spaces
Akgün, Ramazan; İsrafilov, Daniyal M. (Versita, 2011)We prove some direct and converse theorems of trigonometric approximation in weighted Orlicz spaces with weights satisfying so called Muckenhoupt's A (p) condition. -
Approximation in weighted Smirnov-Orlicz classes
Israfilov, Daniyal M.; Akgün, Ramazan (Duke Univ Press,, 2006)In this work some direct and inverse theorems of approximation theory in the weighted Smirnov-Orlicz classes, defined in the domains with a Dini-smooth boundary, are proved. In particular, a constructive characterization ... -
Approximation of functions of weighted lebesgue and smirnov spaces
Akgün, Ramazan (2012)In this work we investigate the inverse approximation problems in the Lebesgue and Smirnov spaces with weights satisfying the so-called Mucken-houpt's A p condition in terms of the α-th mean modulus of smoothness, α > 0. ... -
Approximation properties of Bernstein's singular integrals in variable exponent Lebesgue spaces on the real axis
Akgün, Ramazan (Ankara Univ, 2022)In generalized Lebesgue spaces Lp(& BULL;) with variable exponent p (& BULL;) defined on the real axis, we obtain several inequalities of approximation by inte-gral functions of finite degree. Approximation properties of ... -
Averaged modulus of smoothness and two-sided monotone approximation in Orlicz spaces
Koç, Hüseyin; Akgün, Ramazan (Hacettepe Univ, 2018)The paper deals with basic properties of averaged modulus of smoothness in Orlicz spaces L-phi*. Some direct and inverse two-sided approximation problems in L-phi* are proved. In the last section, some inequalities concerning ... -
Convolution and Jackson inequalities in musielak-orlicz spaces
Akgün, Ramazan; Yıldırır, Yunus Emre (Scientific Technical Research Council Turkey-Tubitak, 2018)In the present work we prove some direct and inverse theorems for approximation by trigonometric polynomials in Musielak-Orlicz spaces. Furthermore, we get a constructive characterization of the Lipschitz classes in these spaces. -
Çok değişkenli fonksiyonlar ve yaklaşım problemleri
Bağcı, Merve Nur (Balıkesir Üniversitesi Fen Bilimleri Enstitüsü, 2021)Bu tezde çok değişkenli fonksiyonlar ve yaklaşım problemleri incelenmiştir. Tez dört ana bölümden oluşmaktadır. Birinci bölüm giriş bölümüdür. Yaklaşım problemlerinin tarihi gelişimi yer almaktadır. İkinci bölümde tezde ... -
Direct theorems of trigonometric approximation for variable exponent Lebesgue spaces
Akgün, Ramazan (Union Matematica Argentina, 2019)Jackson type direct theorems are considered in variable exponent Lebesgue spaces L-p(x) with exponent p(x) satisfying 1 <= ess inf(x is an element of[0,2 pi]) p(x), ess sup(x is an element of[0,2 pi]) p(x) < infinity, and ... -
Exponential approximation in variable exponent Lebesgue spaces on the real line
Akgün, Ramazan (Tuncer Acar, 2022)Present work contains a method to obtain Jackson and Stechkin type inequalities of approximation by integral functions of finite degree (IFFD) in some variable exponent Lebesgue space of real functions defined on R := ... -
Exponential approximation of functions in lebesgue spaces with muckenhoupt weight
Akgün, Ramazan (Petrozavodsk State University, 2023)Using a transference result, several inequalities of ap-proximation by entire functions of exponential type in C(R), the class of bounded uniformly continuous functions defined on R - (-oo, +oo), are extended to the Lebesgue ... -
Fractional order mixed difference operator and its applications in angular approximation
Akgün, Ramazan (Hacettepe Univ, 2020)Lebesgue spaces are considered with Muckenhoupt weights. Fractional order mixed difference operator is investigated to obtain mixed fractional modulus of smoothness in these spaces. Using this modulus of smoothness we give ...
