Shape-preserving properties of a new family of generalized Bernstein operators
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DOI: 10.1186/s13660-018-1821-9
Abstract: In this paper, we introduce a new family of generalized Bernstein operators based on q integers, called (α,q)$(\alpha,q)$-Bernstein operators, denoted by Tn,q,α(f)$T_{n,q,\alpha}(f)$. We investigate a Kovovkin-type approximation theorem, and obtain the rate of convergence of… read more here.
Keywords: bernstein operators; generalized bernstein; family generalized; new family ... See more keywords
A Family of Generalized Legendre-Based Apostol-Type Polynomials
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DOI: 10.3390/axioms11010029
Abstract: Numerous polynomials, their extensions, and variations have been thoroughly explored, owing to their potential applications in a wide variety of research fields. The purpose of this work is to provide a unified family of Legendre-based… read more here.
Keywords: generalized legendre; legendre based; apostol; family generalized ... See more keywords