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ON THE POWER INTEGRABILITY WITH WEIGHT OF DOUBLE TRIGONOMETRIC SERIES
XHEVAT ZAHIR KRASNIQI,Lakshmi Narayan Mishra 장전수학회 2021 Advanced Studies in Contemporary Mathematics Vol.31 No.2
In this paper we have found the necessary and sufficient conditions for the power integrability with a weight of the sum of the double sine, double cosine series and double mixed sine-cosine series whose coefficients belong to a subclass of the γDRBV S class.
XHEVAT ZAHIR KRASNIQI,L. Rathour,Lakshmi Narayan Mishra 장전수학회 2022 Advanced Studies in Contemporary Mathematics Vol.32 No.3
In this paper we have introduced the deferred generalized de la Vallée Poussin means. Using such means of partial sums of the Fourier series of continuous and periodic functions, we have proved some theorems pertaining to upper bound of such means, to the upper bound of the their deviation from the considered functions, and to the degree of approximation when such functions belong to Lipschitz classes.
On Absolute Almost Generalized Nörlund Summability of Orthogonal Series
Krasniqi, Xhevat Zahir Department of Mathematics 2012 Kyungpook mathematical journal Vol.52 No.3
In this paper we present some results on absolute almost generalized N$\ddot{o}$rlund summability of orthogonal series. The most important corollaries of the main results also are deduced.