I-APPROXIMATION PROPERTIES OF CERTAIN CLASS OF LINEAR POSITIVE OPERATORS

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Akademiai Kiado Zrt

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info:eu-repo/semantics/closedAccess

Abstract

In this paper we study I-approximation properties of certain class of linear positive operators. The two main tools used in this paper are I-convergence and Ditzian-Totik modulus of smoothness. Furthermore, we define q-Lupas-Durrmeyer operators and give local and global approximation results for such operators.

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I-convergence, Ditzian-Totik modulus of smoothness, positive operator, q-Lupas-Bernstein operator, q-Lupas-Durrmeyer operator

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Studia Scientiarum Mathematicarum Hungarica

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Volume

48

Issue

2

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