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Rate of convergence of Szász-beta operators based on q-integers

100%

Gupta P. , Agrawal P. N.

2017

tom Vol. 50, nr 1

130--143

The purpose of this paper is to establish the rate of convergence in terms of the weighted modulus of continuity and Lipschitz type maximal function for the q-Szász-beta operators. We also study the rate of A-statistical convergence. Lastly, we modify these operators using King type approach to obtain better approximation.

Convergence of generalized sampling series in weighted spaces

84%

Acar T. , Alagöz O. , Aral A. , Costarelli D. , Turgay M. , Vinti G.

tom Vol. 55, nr 1

153--162

The present paper deals with an extension of approximation properties of generalized sampling series to weighted spaces of functions. A pointwise and uniform convergence theorem for the series is proved for functions belonging to weighted spaces. A rate of convergence by means of weighted moduli of continuity is presented and a quantitative Voronovskaja-type theorem is obtained.