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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 .…
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Keywords:
operators preserving;
widder operators;
post widder;
properties post ... See more keywords
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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…
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Keywords:
nest approximation;
approximation;
principle local;
local reflexivity ... See more keywords
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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...
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Keywords:
properties bivariate;
fractal functions;
dimension results;
functions dimension ... See more keywords
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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…
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Keywords:
jain operators;
approximation;
type;
approximation properties ... See more keywords
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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.
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Keywords:
approximation properties;
properties sets;
local approximation;
continuous selections ... See more keywords
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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…
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Keywords:
type;
approximation properties;
kantorovich operators;
properties kantorovich ... See more keywords
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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.
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Keywords:
new kantorovich;
szabados operators;
kantorovich type;
type ... See more keywords
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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…
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Keywords:
properties kantorovich;
bsk operators;
bal szabados;
approximation properties ... See more keywords
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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…
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Keywords:
durrmeyer operators;
type;
approximation;
approximation properties ... See more keywords
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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…
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Keywords:
approximation;
srivastava gupta;
gupta operators;
certain approximation ... See more keywords