Articles with "weighted approximation" as a keyword



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Weighted Approximation of Functions by the Szász–Mirakjan–Kantorovich Operator

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Published in 2021 at "Results in Mathematics"

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
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Weighted approximation for the generalized discrete Fourier–Jacobi transform on space $$L_{p}({\mathbb {T}})$$

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Published in 2020 at "Journal of Pseudo-differential Operators and Applications"

DOI: 10.1007/s11868-020-00368-6

Abstract: The purpose of this work is to prove an analog of the classical Titchmarsh’s theorem (Introduction to the theory of Fourier integrals, Oxford University Press, Oxford, 1937, Theorem 84) and Younis’s Theorem (Fourier transform of… read more here.

Keywords: weighted approximation; jacobi; fourier jacobi; jacobi transform ... See more keywords