Geodesic
Direct Estimations of New Generalized Baskakov--Szász Operators
Publications de l'Institut Mathématique, _N_S_99 (2016) no. 113, p. 265 .

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Several modifications of the discrete operators are available in the literature. In the recent years, certain modifications of the well-known Baskakov and Szász--Mirakyan operators have been discussed based on certain parameters. We propose mixed summation-integral type operators and estimate the quantitative asymptotic formula and a global direct result for the special case. For general case, we establish moments and some direct convergence results in ordinary approximation, which includes pointwise approximation, asymptotic formula and a direct result in terms of modulus of continuity.
DOI : 10.2298/PIM1613265G
Classification : 41A25, 41A30
Keywords: Baskakov operators, Szász-Mirakyan operators, direct results, modulus of continuity 
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     author = {Vijay Gupta and Neha Malik},
     title = {Direct {Estimations} of {New} {Generalized} {Baskakov--Sz\'asz} {Operators}},
     journal = {Publications de l'Institut Math\'ematique},
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Vijay Gupta; Neha Malik. Direct Estimations of New Generalized Baskakov--Szász Operators. Publications de l'Institut Mathématique, _N_S_99 (2016) no. 113, p. 265 . doi : 10.2298/PIM1613265G. http://geodesic.mathdoc.fr/articles/10.2298/PIM1613265G/

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