Approximation of Phillips-operators on new parameters and via Dunkl analogue

Ravi Kumar; Md. Nasiruzzaman

doi:https://doi.org/10.14445/22315373/IJMTT-V66I1P522

International Journal of Mathematics Trends and Technology

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Volume 66 | Issue 1 | Year 2020 | Article Id. IJMTT-V66I1P522 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I1P522

Approximation of Phillips-operators on new parameters and via Dunkl analogue

Ravi Kumar, Md. Nasiruzzaman

Abstract

The present article is to study the convergence properties of Lebesgue measurable functions based on Dunkl Analogue. We construct a new modied version of Phillips-operators by introducing the new parameters α, β and υ. To obtain the results of uniform convergence in a better way of the Phillips-operators we calculate the qualitative results in a Korovkin and weighted Korovkin spaces.

Keywords

Szasz operator; generating functions; Dunkl analogue; exponential function via Dunkl analogue; Korovkin and weighted Korovkin spaces; modulus of continuity; order of convergence.

References

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Citation :

Ravi Kumar, Md. Nasiruzzaman, "Approximation of Phillips-operators on new parameters and via Dunkl analogue," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 1, pp. 175-187, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I1P522