Weighted Approximation of Functions by the Szász–Mirakjan–Kantorovich Operator
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DOI: 10.1007/s00025-021-01472-9
Abstract: We investigate the weighted approximation of functions in $$L_p$$ -norm by Kantorovich modifications of the classical Szasz–Mirakjan operator, with weights of type $$(1+x)^{\alpha }$$ , $$\alpha \in \mathbb {R}$$ . By defining an appropriate K-functional… read more here.
Keywords: operator; functions mirakjan; weighted approximation; approximation functions ... See more keywords
Generalization of Szász–Mirakjan–Kantorovich operators using multiple Appell polynomials
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DOI: 10.1186/s13660-020-02423-8
Abstract: The purpose of the present paper is to introduce and study a sequence of positive linear operators defined on suitable spaces of measurable functions on [ 0 , ∞ ) $[0,\infty )$ and continuous function… read more here.
Keywords: generalization mirakjan; operators using; multiple appell; appell polynomials ... See more keywords
Uniform boundedness of Szász-Mirakjan-Kantorovich operators in Morrey spaces with variable exponents
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DOI: 10.2298/fil2007109s
Abstract: The Sz?sz-Mirakjan-Kantorovich operators and the Baskakov-Kantorovich operators are shown to be controlled by the Hardy-Littlewood maximal operator. The Sz?sz-Mirakjan-Kantorovich operators and the Baskakov-Kantorovich operators turn out to be uniformly bounded in Lebesgue spaces and Morrey… read more here.
Keywords: kantorovich operators; morrey spaces; spaces variable; mirakjan kantorovich ... See more keywords