2020
DOI: 10.1186/s13662-020-02925-1
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Blending type approximation by τ-Baskakov-Durrmeyer type hybrid operators

Abstract: In this work, we construct a Durrmeyer type modification of the τ-Baskakov operators depends on two parameters $\alpha >0$ α > 0 and $\tau \in [0,1]$ τ ∈ [ 0 , 1 ] . We derive the rate of approximation of these operators in a weighted space and also obtain a quantitative Voronovskaja type asympt… Show more

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Cited by 16 publications
(7 citation statements)
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“…Since then, several papers have appeared to study approximation properties in different settings and spaces. Many new operators were constructed, e.g., Szász [2], Mirakjan [3], Kantorovic [4], Durrmeyer [5], Stancu [6], and many more [7][8][9]. These operators provide the improvement of approximating functions of different classes and give better and better estimates.…”
Section: Introductionmentioning
confidence: 99%
“…Since then, several papers have appeared to study approximation properties in different settings and spaces. Many new operators were constructed, e.g., Szász [2], Mirakjan [3], Kantorovic [4], Durrmeyer [5], Stancu [6], and many more [7][8][9]. These operators provide the improvement of approximating functions of different classes and give better and better estimates.…”
Section: Introductionmentioning
confidence: 99%
“…The q-analogs of Bernstein operators and other operators significantly lead to more general results on approximations and show a better rate of convergence than the respective classical operators [13]. Recently, approximation properties for Bernstein operators and their different generalizations have been studied in [14][15][16][17][18][19][20][21].…”
Section: Introductionmentioning
confidence: 99%
“…Srivastava et al [35] proposed the idea of relatively modular deferred-weighted statistical convergence and statistically as well as relatively modular deferred-weighted summability for a double sequence of functions. In 2020, Mohiuddine et al [30] Baskakov-Durrmeyer type operators based on the parameters and studied quantitative approximation results. Very recently, Mohiuddine et al [27] introduced Stancu-Kantorovich variant of the operators (1) and studied the direct results.…”
Section: Introductionmentioning
confidence: 99%