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pro vyhledávání: '"Baskakov operator"'
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Publikováno v:
Journal of Inequalities and Applications, Vol 2017, Iss 1, Pp 1-11 (2017)
Abstract In this paper, we construct a sequence of modified Stancu-Baskakov operators for a real valued function bounded on [ 0 , ∞ ) $[0,\infty)$ , based on a function τ ( x ) $\tau(x)$ . This function τ ( x ) $\tau(x)$ is infinite times continu
Externí odkaz:
https://doaj.org/article/071ab5afbbb54202bf8f0cb60e04d170
Publikováno v:
AIMS Mathematics, Vol 6, Iss 7, Pp 6986-7016 (2021)
The present article is a continuation of the work done by Aral and Erbay [ 1 ]. We discuss the rate of convergence of the generalized Baskakov operators considered in the above paper with the aid of the second order modulus of continuity and the unif
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6d16c63b23a694de64c6b1803c830c2d
https://www.aimspress.com/article/doi/10.3934/math.2021410
https://www.aimspress.com/article/doi/10.3934/math.2021410
Publikováno v:
Iraqi Journal of Science. :588-593
In this article, we define and study a family of modified Baskakov type operators based on a parameter . This family is a generalization of the classical Baskakov sequence. First, we prove that it converges to the function being approximated. Then, w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2b3d3fa5b6e8afdccbfcf130eb375d12
https://doi.org/10.24996/ijs.2021.62.2.24
https://doi.org/10.24996/ijs.2021.62.2.24
Publikováno v:
Numerical Functional Analysis and Optimization. 42:396-408
We investigate the relation between the convergence of the localized Baskakov operators and the number of their terms N + 1. We obtain the limit functions and the approximation orders by the locali...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4ee24b93fbcf8a5ebf18d910052b0615
https://doi.org/10.1080/01630563.2021.1881971
https://doi.org/10.1080/01630563.2021.1881971
Publikováno v:
Mathematical Methods in the Applied Sciences. 44:5989-6004
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::163f015287282e5ecca397cebf816264
https://doi.org/10.1002/mma.7163
https://doi.org/10.1002/mma.7163
Autor:
P. E. Parvanov
Publikováno v:
Analysis Mathematica. 46:821-842
We investigate the weighted approximation of functions in Lp-norm by Kantorovich modifications of the classical Baskakov operator, with weights of type (1+x)α, α ∈ ℝ. By defining an appropriate K-functional we prove direct inequalities for them
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::df50f92e4bac539960eebb636cb3a911
https://doi.org/10.1007/s10476-020-0059-1
https://doi.org/10.1007/s10476-020-0059-1
Autor:
Ram Pratap, Naokant Deo
Publikováno v:
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences. 92:31-38
In this paper, we consider the integral form of Jain and Pethe operators associated with the Baskakov operators and study some basic properties. We estimate the rate of convergence, Voronovskaja-type asymptotic estimate formula and weighted approxima
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bca5a88fdc84d94ab95a3ac1353cf453
https://doi.org/10.1007/s40010-020-00691-z
https://doi.org/10.1007/s40010-020-00691-z
Publikováno v:
Analysis. 40:163-173
Approximation using linear positive operators is a well-studied research area. Many operators and their generalizations are investigated for their better approximation properties. In the present paper, we construct and investigate a variant of modifi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::96f37dde7e73be4b62dfa54d430a20d5
https://doi.org/10.1515/anly-2019-0054
https://doi.org/10.1515/anly-2019-0054
Publikováno v:
Complexity, Vol 2020 (2020)
In this paper, the approximation property of the linear combinations of Baskakov operators is investigated by using a Jacobi weight function. Moreover, both the positive and inverse theorems for the weighted simultaneous approximation of the linear c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::712cb0c607ce05ba275c96713944d755
https://doi.org/10.1155/2020/5698568
https://doi.org/10.1155/2020/5698568