Browsing by Author "Israfilov, Daniyal M."
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Approximation by FaberLaurent rational functions in Lebesgue spaces with variable exponent
Israfilov, Daniyal M.; Testici, Ahmet (Elsevier Science BV, 2016)Let Gamma be a rectifiable Dinismooth Jordan curve in the complex plane C. In this work the approximation properties of the FaberLaurent series expansions in the variable exponent Lebesgue spaces defined on the curve ... 
Approximation by interpolating polynomials in SmirnovOrlicz 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 Fn ... 
Approximation by matrix transforms in generalized grand Lebesgue spaces with variable exponent
Testici, Ahmet; Israfilov, Daniyal M. (Taylor & Francis Ltd, 2021)The approximation properties of the matrix transforms, constructed via lower triangular matrices, satisfying some additional conditions, in the generalized grand Lebesgue spaces with variable exponent are studied and the ... 
Approximation by matrix transforms in weighted lebesgue spaces with variable exponent
Israfilov, Daniyal M.; Testici, Ahmet (Springer Basel Ag, 2018)In this work the approximation properties of the matrix transforms of functions in the weighted variable exponent Lebesgue spaces are investigated. 
Approximation by means of fourier trigonometric series in weighted orlicz spaces
Güven, Ali; Israfilov, Daniyal M. (2009)The order of approximation of Cesaro, Zygmund and AbelPoisson means of Fourier trigonometric series were estimated by the modulus of continuity in reflexive weighted Orlicz spaces with Muckenhoupt weights. These results ... 
Approximation by p(·)Faber polynomials in the variable Smirnov classes
Israfilov, Daniyal M.; Gürsel, Elife (Wiley, 2020)Let G subset of C be a bounded domain with regular Jordan boundary L. In this work, p(center dot)Faber polynomial series of functions in the variable exponent Smirnov class Ep(center dot)(G) are defined and their ... 
Approximation by pFaberLaurent rational functions in the weighted Lebesgue spaces
Israfilov, Daniyal M. (Springer Heidelberg, 2004)Let L subset of C be a regular Jordan curve. In this work, the approximation properties of the pFaberLaurent rational series expansions in the w weighted Lebesgue spaces Lp(L, w) are studied. Under some restrictive ... 
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 Dinismooth 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 trigonometric polynomials in weighted Orlicz spaces
Güven, Ali; Israfilov, Daniyal M. (Polish Acad Sciences Inst Physics, 2006)We investigate the approximation properties of the partial sums of the Fourier series and prove some direct and inverse theorems for approximation by polynomials in weighted Orlicz spaces. In particular we obtain a ... 
Approximation in weighted generalized grand lebesgue spaces
Israfilov, Daniyal M.; Testici, Ahmet (Ars PolonaRuch, 2016)The direct and inverse problems of approximation theory in the subspace of weighted generalized grand Lebesgue spaces of 2 piperiodic functions with the weights satisfying Muckenhoupt's condition are investigated. Appropriate ... 
Approximation in weighted generalized grand Smirnov classes
Israfilov, Daniyal M.; Testici, Ahmet (Akademiai Kiado Rt., 2017)Let G be a finite simple connected domain in the complex plane C, bounded by a Carleson curve Γ := ∂G. In this work the direct and inverse theorems of approximation theory by the algebraic polynomials in the weighted ... 
Approximation in weighted SmirnovOrlicz classes
Israfilov, Daniyal M.; Akgün, Ramazan (Duke Univ Press,, 2006)In this work some direct and inverse theorems of approximation theory in the weighted SmirnovOrlicz classes, defined in the domains with a Dinismooth boundary, are proved. In particular, a constructive characterization ... 
An approximation of conformal mappings on smooth domains: An International Journal
Oktay, Burçin; Israfilov, Daniyal M. (Taylor & Francis Ltd, 2013)Let G be a finite domain with z(0)G and bounded by a Jordan curve L:G. The Bieberbach polynomials (n), n=1,2,..., associated with the pair (G,z(0)) can be used to approximate the conformal mapping phi(0) from G to ... 
Approximation properties of Julia polynomials
Israfilov, Daniyal M.; Oktay, Burçin (Springer Heidelberg, 2007)Let G be a finite simply connected domain in the complex plane C, bounded by a rectifiable Jordan curve L, and let w = phi(0) (z) be the Riemann conformal mapping of G onto D(0, r (0)) := {w : vertical bar w vertical bar ... 
Approximation properties of some summation methods in the Smirnov classes with variable exponent
Israfilov, Daniyal M.; Testici, Ahmet (Amer Inst Physics, 2016)Let G subset of C be a finite simple connected domain with a rectifiable Dinismooth boundary Gamma. In this work, the approximation properties of the De Vallee Poussin and Jackson means in the variable exponent Smirnov ... 
Approximation properties of the Bieberbach polynomials in closed Dinismooth domains
Israfilov, Daniyal M.; Oktay, Burçin (Belgian Mathematical Soc Triomphe, 2006)Let G be a finite Dinismooth domain and w = phi(0)(z) be the confornial mapping of G onto D (0, r(0)) := {w :vertical bar w vertical bar < r(0)) with the normalization phi(0)(z(0)) = 0, phi'(0)(z(0)) = 1, where z(0) is ... 
Convolutions and best approximations in variable exponent lebesgue spaces
Israfilov, Daniyal M.; Yırtıcı, Elife (Editura Acad Romane, 2016)In the variable exponent Lebesgue spaces a convolution is defined and its estimations in the variable exponent Lebesgue spaces by the best approximation numbers are obtained. 
Direct and inverse theorems in variable exponent smirnov classes
Israfilov, Daniyal M.; Gürsel, Elife (Inst Mathematics & Mechanics, 2021)Let G be a simple connected bounded domain in the complex plane C. Imposing some additional conditions on the variable exponent p (.), we prove direct and inverse theorems of approximation theory in the variable exponent ... 
FaberLaurent series in variable Smirnov classes
Israfilov, Daniyal M.; Gursel, Elife (Scientific Technical Research Council TurkeyTubitak, 2020)In this work, the maximal convergence properties of partial sums of FaberLaurent series in the variable exponent Smirnov classes of analytic functions defined on a doubly connected domain of the complex plane are investigated. 
Linear methods of approximation in weighted Lebesgue spaces with variable exponent
Testici, Ahmet; Israfilov, Daniyal M. (Hacettepe Univ, 2021)Some estimations in below for the deviations conducted by the Zygmund means and by the AbelPoisson sums in the weighted Lebesgue spaces with variable exponent are obtained. In the classical Lebesgue spaces these estimations ...