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Добірка наукової літератури з теми "ISMAIL-MAY OPERATORS"

Автор: Grafiati

Опубліковано: 26 жовтня 2023

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Статті в журналах з теми "ISMAIL-MAY OPERATORS"

1

Mishra, Nav Shakti, and Naokant Deo. "Kantorovich Variant of Ismail–May Operators." Iranian Journal of Science and Technology, Transactions A: Science 44, no. 3 (2020): 739–48. http://dx.doi.org/10.1007/s40995-020-00863-x.

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2

Gupta, Vijay, and Gunjan Agrawal. "Approximation for link Ismail–May operators." Annals of Functional Analysis 11, no. 3 (2020): 728–47. http://dx.doi.org/10.1007/s43034-019-00051-y.

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3

Agrawal, Gunjan, and Vijay Gupta. "Ismail-May-Kantorovich operators preserving affine functions." Filomat 36, no. 5 (2022): 1635–48. http://dx.doi.org/10.2298/fil2205635a.

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Анотація:

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 Kantorovich variants. In the end, the convergence of the operators have been depicted through illustrative graphics.

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4

Gupta, Vijay, and Michael Th Rassias. "Asymptotic formula in simultaneous approximation for certain Ismail-May-Baskakov operators." Journal of Numerical Analysis and Approximation Theory 50, no. 2 (2021): 153–63. http://dx.doi.org/10.33993/jnaat502-1235.

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Анотація:

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 formula in simultaneous approximation.

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5

Lipi, Km, and Naokant Deo. "General family of exponential operators." Filomat 34, no. 12 (2020): 4043–60. http://dx.doi.org/10.2298/fil2012043l.

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Анотація:

In this article, we deal with the approximation properties of Ismail-May operators [16] based on a non-negative real parameter ?. We provide some graphs and error estimation table for a numerical example depicting the convergence of our proposed operators. We further define the B?zier variant of these operators and give a direct approximation theorem using Ditizan-Totik modulus of smoothness and a Voronovoskaya type asymptotic theorem. We also study the error in approximation of functions having derivatives of bounded variation. Lastly, we introduce the bivariate generalization of Ismail May o

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6

Holhoş, Adrian. "Approximation of Real Functions by a Generalization of Ismail–May Operator." Mathematics 10, no. 10 (2022): 1650. http://dx.doi.org/10.3390/math10101650.

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Анотація:

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 the usual modulus of continuity and the second-order modulus of Ditzian and Totik. Then, we characterize the bounded functions that can be approximated uniformly by these new operators. In the last section, we obtain the most important results of the paper. We give the complete asymptotic expansion for the operators and we deduce a Voronovskay

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7

Mishra, Nav Shakti, and Naokant Deo. "On the preservation of functions with exponential growth by modified Ismail–May operators." Mathematical Methods in the Applied Sciences 44, no. 11 (2021): 9012–25. http://dx.doi.org/10.1002/mma.7328.

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8

Abel, Ulrich, Vijay Gupta, and Meer Sisodia. "Some new semi-exponential operators." Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 116, no. 2 (2022). http://dx.doi.org/10.1007/s13398-022-01228-2.

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Анотація:

AbstractIn the theory of approximation, linear operators play an important role. The exponential-type operators were introduced four decades ago, since then no new exponential-type operator was introduced by researchers, although several generalizations of existing exponential-type operators were proposed and studied. Very recently, the concept of semi-exponential operators was introduced and few semi-exponential operators were captured from the exponential-type operators. It is more difficult to obtain semi-exponential operators than the corresponding exponential-type operators. In this paper

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9

Abel, Ulrich, and Vijay Gupta. "A complete asymptotic expansion for operators of exponential type with $$p\left( x\right) =x\left( 1+x\right) ^{2}$$." Positivity, December 23, 2020. http://dx.doi.org/10.1007/s11117-020-00802-5.

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Анотація:

AbstractIn the year 1978, Ismail and May studied operators of exponential type and proposed some new operators which are connected with a certain characteristic function $$p\left( x\right) $$ p x . Several of these operators were not separately studied by researchers due to its unusual behavior. The topic of the present paper is the local rate of approximation of a sequence of exponential type operators $$R_{n}$$ R n belonging to $$p\left( x\right) =x\left( 1+x\right) ^{2}$$ p x = x 1 + x 2 . As the main result we derive a complete asymptotic expansion for the sequence $$\left( R_{n}f\right) \

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Дисертації з теми "ISMAIL-MAY OPERATORS"

1

MISHRA, NAV SHAKTI. "A STUDY ON ESTIMATES OF CONVERGENCE OF CERTAIN APPROXIMATION OPERATORS." Thesis, 2023. http://dspace.dtu.ac.in:8080/jspui/handle/repository/19752.

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Анотація:

This thesis is mainly a study of convergence estimates of various approximation opera tors. Approximation theory is indeed an old topic in mathematical analysis that remains an appealing field of study with several applications. The findings presented here are related to the approximation of specific classes of linear positive operators. The introduc tory chapter is a collection of relevant definitions and literature of concepts that are used throughout this thesis. The second chapter is based on approximation of certain exponential type opera tors. The first section of this chapter presen

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