On q ‐analogue of a parametric generalization of Baskakov operators

2021 ◽  
Author(s):  
Purshottam Narain Agrawal ◽  
Behar Baxhaku ◽  
Rahul Shukla
Keyword(s):  
Baskakov Operators

scholarly journals Direct theorems for modified Baskakov operators in Lp-spaces

2009 ◽  
Vol 42 (3) ◽  
Author(s):  
Prerna Maheshwari
Keyword(s):  
Baskakov Operators ◽  
Lp Spaces

AbstractIn the year 1993, Gupta and Srivastava [

scholarly journals New modified Baskakov operators based on the inverse Pólya-Eggenberger distribution

Filomat ◽  
2019 ◽  
Vol 33 (11) ◽  
pp. 3537-3550
Author(s):  
Naokant Deo ◽  
Minakshi Dhamija ◽  
Dan Miclăuş
Keyword(s):  
Asymptotic Formula ◽  
Uniform Convergence ◽  
Present Article ◽  
Baskakov Operators ◽  
Direct Results

In the present article we introduce some modifications of the Baskakov operators in sense of the Lupa? operators based on the inverse P?lya-Eggenberger distribution. For these new modifications we derive some direct results concerning the uniform convergence and the asymptotic formula, as well as some quantitative type theorems.

On Global Inverse Theorems of Szász and Baskakov Operators

1979 ◽  
Vol 31 (2) ◽  
pp. 255-263 ◽  
Author(s):  
Z. Ditzian
Keyword(s):  
Rate Of Convergence ◽  
Exponential Growth ◽  
Polynomial Growth ◽  
Continuous Functions ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Baskakov Operators ◽  
Inverse Theorems ◽  
Image Position ◽  
Necessary And Sufficient

The Szász and Baskakov approximation operators are given by1.11.2respectively. For continuous functions on [0, ∞) with exponential growth (i.e. ‖ƒ‖A ≡ supx\ƒ(x)e–Ax\ < M) the modulus of continuity is defined by1.3where ƒ ∈ Lip* (∝, A) for some 0 < ∝ ≦ 2 if w2(ƒ, δ, A) ≦ Mδ∝ for all δ < 1. We shall find a necessary and sufficient condition on the rate of convergence of An(ƒ, x) (representing Sn(ƒ, x) or Vn(ƒ, x)) to ƒ(x) for ƒ(x) ∈ Lip* (∝, A). In a recent paper of M. Becker [1] such conditions were found for functions of polynomial growth (where (1 + \x\N)−1 replaced e–Ax in the above). M. Becker explained the difficulties in treating functions of exponential growth.

Rate of Convergence of Modified Baskakov Operators

1997 ◽  
Vol 30 (2) ◽  
pp. 339-346
Author(s):  
Vijay Gupta ◽  
D. Kumar
Keyword(s):  
Rate Of Convergence ◽  
Baskakov Operators

Direct estimate on pointwise simultaneous approximation by combinations of Baskakov operators

2007 ◽  
Vol 44 (1) ◽  
pp. 1-14
Author(s):  
Linsen Xie ◽  
Xiaoping Zhang
Keyword(s):  
Simultaneous Approximation ◽  
Baskakov Operators ◽  
Direct Estimate

In this paper we obtain a direct estimate on the pointwise simultanous approximation by the combinations of Baskakov operators.

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