Reconstruction of Baskakov operators preserving some exponential functions
- 4 September 2018
- journal article
- research article
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 42 (16) , 5124-5132
Abstract
The present paper deals with a new modification of Baskakov operators in which the functions exp(μt) and exp(2μt), μ>0 are preserved. Approximation properties of the operators are captured, ie, uniform convergence and rate of convergence of the operators in terms of modulus of continuity, approximation behaviors of the operators exponential weighted spaces, and pointwise convergence of the operators by means of the Voronovskaya theorem. Advantages of the operators for some special functions are presented.Keywords
This publication has 6 references indexed in Scilit:
- On Baskakov operators preserving the exponential functionJournal of Numerical Analysis and Approximation Theory, 2017
- A note on Szász–Mirakyan–Kantorovich type operators preserving $e^{-x}$ e - xPositivity, 2017
- Szász–Mirakyan Type Operators Which Fix ExponentialsResults in Mathematics, 2017
- On Szász–Mirakyan Operators Preserving $\varvec{e^{2ax}},$ e 2 a x , $\varvec{a>0}$ a > 0Mediterranean Journal of Mathematics, 2016
- Hadamard-type inequalities for generalized convex functionsMathematical Inequalities & Applications, 1998
- Linear approximation and generalized convexityJournal of Approximation Theory, 1968