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 Mat. Zametki, 2019, Volume 105, Issue 6, paper published in the English version journal (Mi mz12482)

Papers published in the English version of the journal

A Short Note on a $q$-Analog of Modified Stancu–Beta Operators

P. Sharma, G. S. Rathore

Department of Mathematics and Statistics, University College of Science, Mohanlal Sukhadia University, Udaipur-313001 (Rajasthan), India

Abstract: This paper deals with the modified $q$-Stancu–Beta operators and investigates statistical approximation theorems for these operators with the help of a Korovkin-type approximation theorem. The rates of statistical convergence are determined by means of the modulus of continuity and a Lipschitz-type maximal function. The results show that the rates of convergence of the operators under consideration are at least as fast as those of the classical Stancu–Beta operators.

Keywords: $q$-integers, statistical convergence, $q$-Stancu–Beta operators, rate of statistical convergence, modulus of continuity, positive linear operators, Korovkin-type approximation theorem.

English version:
Mathematical Notes, 2019, 105:6, 881–887

Bibliographic databases:

Revised: 10.02.2019
Language:

Citation: P. Sharma, G. S. Rathore, “A Short Note on a <nobr>$q$</nobr>-Analog of Modified Stancu–Beta Operators”, Math. Notes, 105:6 (2019), 881–887

Citation in format AMSBIB
\Bibitem{ShaRat19} \by P.~Sharma, G.~S.~Rathore \paper A Short Note on a <nobr>$q$</nobr>-Analog of Modified Stancu–Beta Operators \jour Math. Notes \yr 2019 \vol 105 \issue 6 \pages 881--887 \mathnet{http://mi.mathnet.ru/mz12482} \crossref{https://doi.org/10.1134/S0001434619050250} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3976544} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000473246800025} \elib{https://elibrary.ru/item.asp?id=42052642} \scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85068112618}