Browsing by Author "Zeren, Yusuf"

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Approximation To Generalized Taylor Derivatives By Integral Operator Families
(MSU J. of Sci, 2017) AKIN, Lutfi; Zeren, Yusuf
This theory has important applications of polynomial approximation in various areas of functional analysis, Fourier analysis, application mathematic, operator theory, in the field generalized derivatives and numerical solutions of differential and integral equations, etc. The study of approximation theory is a well-established area of research which deals with the problem of approximating a function f by means of a sequence n L of positive linear operators. This theory is very important for mathematical world. Nowadays, many mathematicians are working in this field.
COMPACTIFICATION OF WEIGHTED HARDY OPERATOR IN VARIABLE EXPONENT LEBESGUES SPACES
(Asian Journal of Mathematics and Computer Research, 2017) Mamedov, Ferman; Zeren, Yusuf; AKIN, Lutfi
We study necessity and sufficiency conditions for the weighted Hardy operator   x v w H f x v x f t w t dt 0 , ( ) ( ) ( ) ( ) to be compact from Lp(.) (0, l) to Lq(.) (0,l) .
On innovations of the multivariable fractional Hardy-type inequalities on time scales
(Yıldız Teknik Üniversitesi, 2023) Akın, Lütfi; Zeren, Yusuf
Fractional integral-type inequalities, dynamic equations, integral operators and variable exponents have an important place in time scales theory and harmonic analysis. Our main goal in this study is to obtain the multivariable fractional Hardy-type integral inequality using a new version of Jensen’s inequality for super-quadratic and sub-quadratic functions on time scales with variable exponents.
SOME PROPERTIES FOR HIGHER ORDER COMMUTATORS OF HARDY-TYPE INTEGRAL OPERATOR ON HERZ–MORREY SPACES WITH VARIABLE EXPONENT
(Sigma Journal of Engineering and Natural Sciences, 2019) AKIN, Lütfi; Zeren, Yusuf
In this work, the boundedness for higher order commutators of Hardy-Type integrals is obtained on Herz–Morrey spaces with variable exponent ....