Some approximation results on higher order generalization of Bernstein type operators defined by (p,q)-integers

2015/07/30 by M. Mursaleen, Mursaleen, M., Nasiruzzaman +1
Mathematics · #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.1507.08479

openalex publication_date 2015/07/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce the higher order generalization of Bernstein type operators defined by (p,q)-integers. We establish some approximation results for these new operators by using the modulus of continuity.

Citations

• On the fundamental theorem of (p,q)-calculus and some (p,q)-Taylor\n formulas

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