Convergence estimates of a family of approximation operators of exponential type Article Swipe

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Mathematics Exponential type Exponential function Type (biology) Modulus of continuity Convergence (economics) Exponential growth Exponential family Exponential formula Asymptotic formula Applied mathematics Mathematical analysis Double exponential function Economics Ecology Biology Economic growth

Vijay Gupta , Manuel López‐Pellicer , H. M. Srivastava ·

YOU? · · 2020 · Open Access · · DOI: https://doi.org/10.2298/fil2013329g · OA: W3148873124

The main object of this article is to consider a family of approximation operators of exponential type, which has presumably not been studied earlier due mainly to their seemingly complicated behavior. We estimate and establish a quantitative asymptotic formula in terms of the modulus of continuity with exponential growth, a Korovkin-type result for exponential functions and also a Voronovskaja-type asymptotic formula in the simultaneous approximation.