Results 1 to 10 of about 1,292 (171)

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
doaj   +4 more sources

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
doaj   +8 more sources

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, Gupta Vijay, Gunjan Agrawal   +2 more
exaly   +2 more sources

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, Gupta Vijay, Gunjan Agrawal   +2 more
exaly   +2 more sources

New exponential operators connected with $$a^2+x^2$$: a generalization of Post-Widder and Ismail-May operators

Computational and Applied Mathematics
12 pages, 14 figures,
Vijay Gupta, , Gupta Vijay
exaly   +4 more sources

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, Teuku Yuri M Zagloel, Ruki Harwahyu, Muhamad Asvial, Muhammad Suryanegara, Eny Kusrini, Sutrasno Kartohardjono, Muhamad Sahlan, Nandy Putra, Muhammad Arif Budiyanto   +9 more
doaj   +1 more source

On the preservation of functions with exponential growth by modified Ismail–May operators

Mathematical Methods in the Applied Sciences, 2021
In this study, our aim is to provide a modification of the so‐called Ismail–May operators that preserve exponential functions . In support of this, we begin by estimating the convergence rate of the operators in terms of usual and exponential modulus of continuity. We also provide a global approximation and a quantitative Voronovskaya result. Moreover,
Naokant Deo, Nav Shakti Mishra
exaly   +3 more sources

Kantorovich Variant of Ismail–May Operators

Iranian Journal of Science and Technology, Transaction A: Science, 2020
The prime objective of this paper is to construct the Kantorovich variant of Ismail–May operators depending on a non-negative parameter $$\lambda $$. We estimate the rate of convergence of the proposed operators for functions in Lipschitz-type space. Further, an improved quantitative Voronovskaya-type estimate in terms of the second-order modulus of ...
Naokant Deo, Nav Shakti Mishra, Deo Naokant   +2 more
exaly   +2 more sources

On a composition of Ismail–May operator

Mathematical Methods in the Applied Sciences
In 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
exaly   +3 more sources

Some new semi-exponential operators

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2022
Vijay Gupta, Ulrich Abel, Gupta Vijay
exaly