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
Weighted approximation of functions by Favard operators of max-product type
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DOI: 10.1007/s10998-018-0249-9
Abstract: In this paper we introduce the Favard operators of max-product type to study the uniform approximation of functions with exponential growth. We introduce a new suitable modulus of continuity and we estimate the rate of… read more here.
Keywords: approximation; operators max; favard operators; max product ... See more keywords
Approximation of functions by a new family of generalized Bernstein operators
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DOI: 10.1016/j.jmaa.2016.12.075
Abstract: Abstract The main object of this paper is to construct a new generalization of the Bernstein operator, depending on a non-negative real parameter. We investigate some elementary properties of this operator, such as end point… read more here.
Keywords: bernstein; bernstein operators; generalized bernstein; approximation functions ... See more keywords
Best approximation of functions in generalized Hölder class
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DOI: 10.1186/s13660-018-1864-y
Abstract: Here, for the first time, error estimation of the functions g∈Hz(w)$g\in H_{z}^{(w)}$ and g˜∈Hz(w)$\tilde{g}\in H_{z}^{(w)}$ classes using TC1$TC^{1}$ method of F. S. (Fourier Series) and C. F. S. (Conjugate Fourier Series), respectively, are determined. The results of (Dhakal… read more here.
Keywords: lder class; best approximation; functions generalized; approximation functions ... See more keywords
Approximation of functions by Favard-Szász-Mirakyan operators of max-product type in weighted spaces
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DOI: 10.2298/fil1807567h
Abstract: In this paper we study the uniform approximation of functions by Favard-Szász-Mirakyan operators of max-product type in some exponential weighted spaces. We estimate the rate of approximation in terms of a suitable modulus of continuity. read more here.
Keywords: approximation; mirakyan operators; operators max; favard mirakyan ... See more keywords