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Featured researches published by Gumrah Uysal.


Advances in Difference Equations | 2014

A note on rate of convergence of double singular integral operators

Mine Menekse Yilmaz; Gumrah Uysal; Ertan Ibikli

In this paper we prove the pointwise convergence and the rate of pointwise convergence for a family of singular integral operators with radial kernel in two-dimensional setting in the following form: Lλ(f;x,y)=∬Df(s,t)Hλ(s−x,t−y)dsdt, (x,y)∈D, where D=〈a,b〉×〈c,d〉 (〈a,b〉×〈c,d〉 is an arbitrary closed, semi-closed or open region in R2) and λ∈Λ, Λ is a set of non-negative numbers with accumulation point λ0. Also we provide an example to support these theoretical results.MSC:41A35, 41A25.


INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2016 | 2016

Results on convergence of three-parameter family of singular integral operators with radial kernels

Gumrah Uysal; Ertan Ibikli

In this work, we present extra results on the weighted pointwise convergence for a family of singular integral operators with radial kernels. Also, we present a theorem concerning the rate of pointwise convergence.


Journal of Inequalities and Applications | 2015

A study on pointwise approximation by double singular integral operators

Gumrah Uysal; Mine Menekse Yilmaz; Ertan Ibikli


The Korean Journal of Mathematics | 2016

A GENERIC RESEARCH ON NONLINEAR NON-CONVOLUTION TYPE SINGULAR INTEGRAL OPERATORS

Gumrah Uysal; Vishnu Narayan Mishra; Ozge Ozalp Guller; Ertan Ibikli


European Journal of Pure and Applied Mathematics | 2017

Convergence of Singular Integral Operators in Weighted Lebesgue Spaces

Mine Menekse Yilmaz; Gumrah Uysal


The Korean Journal of Mathematics | 2018

Some weighted approximation properties of nonlinear double integral operators

Gumrah Uysal; Vishnu Narayan Mishra; Sevilay Kirci Serenbay


Journal of Progressive Research in Mathematics | 2018

On Approximation Properties of Multivariate Class of Nonlinear Singular Integral Operators

Gumrah Uysal; Vishnu Narayan Mishra; Ertan Ibikli


kuwait journal of science | 2017

On pointwise convergence of bivariate nonlinear singular integral operators

Gumrah Uysal; Mine Menekse Yilmaz; Ertan Ibikli


arXiv: Functional Analysis | 2017

On the approximation by convolution type double singular integral operators

Mine Menekse Yilmaz; Lakshmi Narayan Mishra; Gumrah Uysal


The Korean Journal of Mathematics | 2017

On singular integral operators involving power nonlinearity

Sevgi Esen Almalı; Gumrah Uysal; Vishnu Narayan Mishra; Ozge Ozalp Guller

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