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Rate of convergence on the mixed summation integral type operators. (English) Zbl 1164.47348

Summary: V. Gupta and E. Erkus [JIPAM, J. Inequal. Pure Appl. Math. 7, No. 1, Paper No. 23 (2006; Zbl 1133.41305)] introduced the mixed sequence of summation-integral type operators \(S_n(f,x)\) and estimated some direct results in simultaneous approximation. We extend the study on these operators \(S_n(f,x)\) and in particular we study the rate of convergence for functions having derivatives of bounded variation.

MSC:

47G10 Integral operators

Citations:

Zbl 1133.41305
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