Higher order Kantorovich operators based on inverse Pólya–Eggenberger distribution

Gupta, Vijay; Anjali, None

doi:10.1007/s13398-021-01176-3

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2022

2024

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Cited by 4 publications

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“…The approximation by linear positive operators is active area of research we mention some recent work [3], [4] and [5] etc. We begin with a straightforward application of Lagrange's expansion theorem (see [9, p. 348]) given by:…”

Section: Introductionmentioning

confidence: 99%

Approximation properties of a discrete operator

Anjali

2022

General Mathematics

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In the present research, we estimate some approximation properties for the generalization of a sequence of positive linear operators considered by Holhoş [6] with the following operators available in literature as special examples: Szàsz operator, Ismail-May operator associated with x(1 + x)2. We estimate its recurrence relation, moments and verify the same for its particular cases. Finally, we graphically compare the convergence of this new general operator for a continuous function, examine the convergence for each instance, and come to a conclusion regarding which scenario provides the best approximation.

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Section: Introductionmentioning

confidence: 99%