Articles with "approximation properties" as a keyword



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Approximation properties of the Post‐Widder operators preserving e2ax,a>0

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Published in 2020 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.6192

Abstract: This paper deals with constructing the modified form of the Post‐Widder operators, which reproduce constant and e2ax for fixed a>0 . We discuss the uniform convergence of the constructed operators with the function f .… read more here.

Keywords: operators preserving; widder operators; post widder; properties post ... See more keywords
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Principle of local reflexivity respecting nests of subspaces and the nest approximation properties

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Published in 2017 at "Journal of Functional Analysis"

DOI: 10.1016/j.jfa.2017.06.004

Abstract: Abstract Versions of the principle of local reflexivity which respect given nests of subspaces of a Banach space are established. As an application, some duality and lifting theorems on approximation properties of pairs are extended… read more here.

Keywords: nest approximation; approximation; principle local; local reflexivity ... See more keywords
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Approximation properties of bivariate α-fractal functions and dimension results

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Published in 2020 at "Applicable Analysis"

DOI: 10.1080/00036811.2020.1721472

Abstract: In this paper, we study a different class of bivariate α-fractal functions. First, we introduce the bivariate Bernstein α-fractal functions that are more suitable to approximate both smooth and non... read more here.

Keywords: properties bivariate; fractal functions; dimension results; functions dimension ... See more keywords
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The Integral Type Modification of Jain Operators and its Approximation Properties

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Published in 2018 at "Numerical Functional Analysis and Optimization"

DOI: 10.1080/01630563.2018.1477796

Abstract: Abstract In the present paper, we discuss the approximation properties of Durrmeyer-Stancu type variant of Jain operators with the modified forms of the Beta basis functions. We establish some direct results, which include the asymptotic… read more here.

Keywords: jain operators; approximation; type; approximation properties ... See more keywords
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Local Approximation Properties of Sets and Continuous Selections on Them

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Published in 2019 at "Mathematical Notes"

DOI: 10.1134/s0001434619110361

Abstract: Sets with a continuous selection from the near-best approximation operator are studied and the relationship of such sets with the radial δ-solarity property and with the metric function is discussed. read more here.

Keywords: approximation properties; properties sets; local approximation; continuous selections ... See more keywords
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Approximation properties of λ-Kantorovich operators

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Published in 2018 at "Journal of Inequalities and Applications"

DOI: 10.1186/s13660-018-1795-7

Abstract: In the present paper, we study a new type of Bernstein operators depending on the parameter λ∈[−1,1]$\lambda\in[-1,1]$. The Kantorovich modification of these sequences of linear positive operators will be considered. A quantitative Voronovskaja type theorem… read more here.

Keywords: type; approximation properties; kantorovich operators; properties kantorovich ... See more keywords
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Some approximation properties of new Kantorovich type q-analogue of Balázs–Szabados operators

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Published in 2020 at "Journal of Inequalities and Applications"

DOI: 10.1186/s13660-020-02422-9

Abstract: In this paper, we define a new Kantorovich type q-analogue of the Balazs–Szabados operators, we give some local approximation properties of these operators and prove a Voronovskaja type theorem. read more here.

Keywords: new kantorovich; szabados operators; kantorovich type; type ... See more keywords
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Approximation properties of Kantorovich type q-Balázs-Szabados operators

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Published in 2019 at "Demonstratio Mathematica"

DOI: 10.1515/dema-2019-0002

Abstract: Abstract In this paper, we introduce a new kind of q-Balázs-Szabados-Kantorovich operators called q-BSK operators. We give a weighted statistical approximation theorem and the rate of convergence of the q-BSK operators. Also, we investigate the… read more here.

Keywords: properties kantorovich; bsk operators; bal szabados; approximation properties ... See more keywords
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Approximation Properties of the Blending-Type Bernstein-Durrmeyer Operators

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Published in 2022 at "Axioms"

DOI: 10.3390/axioms12010005

Abstract: We construct the blending-type modified Bernstein–Durrmeyer operators and investigate their approximation properties. First, we derive the Voronovskaya-type asymptotic theorem for this type of operator. Then, the local and global approximation theorems are obtained by using… read more here.

Keywords: durrmeyer operators; type; approximation; approximation properties ... See more keywords

Certain approximation properties of Srivastava-Gupta operators

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Published in 2018 at "Journal of Mathematical Inequalities"

DOI: 10.7153/jmi-2018-12-44

Abstract: In this paper we consider a modification of the well known sequence of summation integral operators, the Srivastava-Gupta operators, in order to achieve faster convergence for our operators over the classical ones. Also, the order… read more here.

Keywords: approximation; srivastava gupta; gupta operators; certain approximation ... See more keywords