Yazar "Kokilashvili, Vakhtang" için listeleme
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On converse theorems of trigonometric approximation in weighted variable exponent lebesgue spaces
Akgün, Ramazan; Kokilashvili, Vakhtang (Duke Univ Press, 2011)In this work we prove improved converse theorems of trigonometric approximation in variable exponent Lebesgue spaces with some Mucken-houpt weights. -
On the approximation by trigonometric polynomials in weighted lorentz spaces
Kokilashvili, Vakhtang; Yıldırır, Yunus Emre (Hindawi Ltd, 2010)We obtain estimates of structural characteristics of 2 pi -periodic functions by the best trigonometric approximations in weighted Lorentz spaces, and show that the order of generalized modulus of smoothness depends not ... -
On the mean summability by Cesaro method of Fourier trigonometric series in two-weighted setting
Kokilashvili, Vakhtang; Güven, Ali (Springeropen, 2006)The Cesaro summability of trigonometric Fourier series is investigated in the weighted Lebesgue spaces in a two-weight case, for one and two dimensions. These results are applied to the prove of two-weighted Bernstein's ... -
On the means of fourier integrals and bernstein inequality in the two-weighted setting
Güven, Ali; Kokilashvili, Vakhtang (Springer, 2010)The norm estimation problem for Cesaro and Abel-Poisson operators acting from L-w(p)(R) to L-v(q)(R) where 1 < p <= q < infinity was investigated. These results were generalized to the multidimensional case and applied to ... -
The refined direct and converse inequalities of trigonometric approximation in weighted variable exponent Lebesgue spaces
Akgün, Ramazan; Kokilashvili, Vakhtang (Walter De Gruyter GMBH, 2011)Refined direct and converse theorems of trigonometric approximation are proved in the variable exponent Lebesgue spaces with weights satisfying some Mucken-houpt A(p)-condition. As a consequence, the refined versions of ... -
Refined estimates of trigonometric approximation for functions with generalized derivatives in weighted variable exponent Lebesgue spaces
Akgün, Ramazan; Kokilashvili, Vakhtang (Walter De Gruyter Gmbh, 2012)The refined direct and inverse estimates for (alpha, psi)-derivatives of functions in weighted variable exponent Lebesgue spaces are proved.
