Results 11 to 20 of about 26,959 (183)
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 of Real Functions by a Generalization of Ismail–May Operator [PDF]
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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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 ...
Gunjan Agrawal, Vijay Gupta
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New exponential operators connected with $$a^2+x^2$$: a generalization of Post-Widder and Ismail-May operators [PDF]
Computational and Applied Mathematics12 pages, 14 figures,
Vijay Gupta, null Anjali
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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, Gunjan Agrawal
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On a composition of Ismail–May operator [PDF]
Mathematical Methods in the Applied SciencesIn this paper, we address a discrete operator based on the composition of Ismail–May operator and Szász–Mirakjan operator and study its approximation properties for various classes of continuous functions using Taylor's formula. We estimate its moments and further give direct theorems employing Peetre's K‐functional and the modulus of continuity ...
Vijay Gupta, Vaibhav Sharma
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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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${\mathcal D}$-Pseudo-Bosons, Complex Hermite Polynomials, and Integral Quantization [PDF]
, 2015 The ${\mathcal D}$-pseudo-boson formalism is illustrated with two examples. The first one involves deformed complex Hermite polynomials built using finite-dimensional irreducible representations of the group ${\rm GL}(2,{\mathbb C})$ of invertible $2 ...
Ali, S. Twareque +2 more
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