Generalized Positive Linear Operators Based on PED and IPED

Deo, Naokant; Dhamija, Minakshi

doi:10.1007/s40995-017-0477-5

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Cited by 7 publications

(2 citation statements)

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“…The special cases of operators (1) have already been discussed in [3]. Likewise, special cases can be obtained for the operators (2).…”

Section: Introductionmentioning

confidence: 96%

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Approximation by generalized positive linear Kantorovich operators

Dhamija

Deo

2017

Filomat

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In the present article, we introduce generalized positive linear-Kantorovich operators depending on Pólya-Eggenberger distribution (PED) as well as inverse Pólya-Eggenberger distribution (IPED) and for these operators, we study some approximation properties like local approximation theorem, weighted approximation and estimation of rate of convergence for absolutely continuous functions having derivatives of bounded variation.

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“…The special cases of operators (1) have already been discussed in [3]. Likewise, special cases can be obtained for the operators (2).…”

Section: Introductionmentioning

confidence: 96%

“…Deo et al [3] (x + iα), with 0 α < 1(may depend only on natural number n); k, p are nonnegative integers. In [16] Razi introduced a Kantorovich form of Stancu operators based on PED and obtained Voronvskaya formula as well as degree of approximation.…”

Section: Introductionmentioning

confidence: 99%