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Approximation of Real Functions by a Generalization of Ismail–May Operator
Mathematics, 2022 In this paper, we generalize a sequence of positive linear operators introduced by Ismail and May and we study some of their approximation properties for different classes of continuous functions. First, we estimate the error of approximation in terms of
Adrian Holhoş
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Asymptotic formula in simultaneous approximation for certain Ismail-May-Baskakov operators
Journal of Numerical Analysis and Approximation Theory, 2021 In the present paper, we introduce a modification of Ismail-May operators having weights of Baskakov basis functions. We estimate weighted Korovkin's theorem and difference estimates between two operators and establish a Voronovskaja type asymptotic ...
Vijay Gupta, Michael Th. Rassias
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Approximation for link Ismail–May operators
Annals of Functional Analysis, 2020 The authors discuss the approximation properties of certain link integral modification of Ismail-May operators. They establish some direct convergence estimates including error, difference estimates and an asymptotic formula in simultaneous approximation. The convergence of polynomial function with the link operators through graphical representation is
Vijay Gupta
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Ismail-May-Kantorovich operators preserving affine functions
Filomat, 2022 We introduce here a modification of the Ismail-May operators, preserving affine function and estimate the order of approximation with the help of classical approach viz. the second order modulus of continuity, and the Peetre?s K-functional. Further, we provide the convergence estimates for the differences of Ismail-May operators and its ...
Vijay Gupta
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Accelerating Innovation in The Industrial Revolution 4.0 Era for a Sustainable Future
International Journal of Technology, 2022 Today we are facing the era of the industrial revolution 4.0, which brings many changes in all fields. In this era, there are massive changes in various fields through the combination of technology that reduces the barriers between the physical and ...
Isti Surjandari +9 more
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Spectral Analysis of Certain Schr\"odinger Operators [PDF]
, 2012 The $J$-matrix method is extended to difference and $q$-difference operators and is applied to several explicit differential, difference, $q$-difference and second order Askey-Wilson type operators. The spectrum and the spectral measures are discussed in
Ismail, Mourad E. H., Koelink, Erik
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Some Orthogonal Polynomials Arising from Coherent States [PDF]
, 2011 We explore in this paper some orthogonal polynomials which are naturally associated to certain families of coherent states, often referred to as nonlinear coherent states in the quantum optics literature.
Akhiezer N I +19 more
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The reproducing kernel structure arising from a combination of continuous and discrete orthogonal polynomials into Fourier systems [PDF]
, 2006 We study mapping properties of operators with kernels defined via a combination of continuous and discrete orthogonal polynomials, which provide an abstract formulation of quantum (q-) Fourier type systems.
Abreu, Luis Daniel
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Classes of Bivariate Orthogonal Polynomials [PDF]
, 2016 We introduce a class of orthogonal polynomials in two variables which generalizes the disc polynomials and the 2-$D$ Hermite polynomials. We identify certain interesting members of this class including a one variable generalization of the 2-$D$ Hermite ...
Ismail, Mourad E. H., Zhang, Ruiming
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