On a Kantorovich variant of (p,q)-Szasz-Mirakjan operators

2015/12/01 by M. ‎Mursaleen, Mursaleen, M., Khursheed J‎. ‎Ansari +3
Computer Science · Mathematics · #40A30 #41A10 #41A25 #41A36 #Advanced Algebra and Logic #Advanced Mathematical Identities #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1512.03731

openalex publication_date 2015/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the present paper we propose a Kantorovich variant of (p,q)-analogue of Szasz-Mirakjan operators. We establish the moments of the operators with the help of a recurrence relation that we have derived and then prove the basic convergence theorem. Next, the local approximation as well as weighted approximation properties of these new operators in terms of modulus of continuity are studied.

Citations

• On (p,q)-analogue of Bernstein Operators (Revised)
• On the fundamental theorem of (p,q)-calculus and some (p,q)-Taylor formulas

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