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Convergence estimates in simultaneous approximation by certain Srivastava-Gupta type operators

EKTA PANDEY|R. K. MISHRA
장전수학회 (Jangjeon Mathematical Society)|2016.07|Advanced Studies in Contemporary Mathematics|제26권 제3호|pp. 467-480

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참고문헌

키워드

Linear positive operatorssimultaneous approximationSrivastava-Gupta operatorsmodulus of continuity
주제분류수학

초록

The present paper study the approximation properties of certain summation-integral type operators in simultaneous approximation, which is a generalization of the operators introduced by Srivastava and Gupta [22]. We obtain moment estimation and establish some direct results which include point-wise convergence, Voronovskaja type asymptotic formula and error estimate in terms of higher order modulus of continuity of function in simultaneous approximation for these operators.

Abstract

The present paper study the approximation properties of certain summation-integral type operators in simultaneous approximation, which is a generalization of the operators introduced by Srivastava and Gupta [22]. We obtain moment estimation and establish some direct results which include point-wise convergence, Voronovskaja type asymptotic formula and error estimate in terms of higher order modulus of continuity of function in simultaneous approximation for these operators.

참고문헌 (25)

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