The best approximations in L2(0, 2?) of classes of periodic functions with derivatives of bounded variation

1980 ◽  
Vol 28 (2) ◽  
pp. 582-584
Author(s):  
L. V. Taikov
Keyword(s):  
Bounded Variation ◽  
Periodic Functions ◽  
Best Approximations ◽  
Derivatives Of

scholarly journals Rate of Convergence for Ibragimov-Gadjiev-Durrmeyer Operators

2017 ◽  
Vol 50 (1) ◽  
pp. 119-129 ◽  
Author(s):  
Tuncer Acar
Keyword(s):  
Rate Of Convergence ◽  
Bounded Variation ◽  
General Class ◽  
Durrmeyer Operators ◽  
Special Cases ◽  
Derivatives Of

Abstract The present paper deals with the rate of convergence of the general class of Durrmeyer operators, which are generalization of Ibragimov-Gadjiev operators. The special cases of the operators include somewell known operators as particular cases viz. Szász-Mirakyan-Durrmeyer operators, Baskakov-Durrmeyer operators. Herewe estimate the rate of convergence of Ibragimov-Gadjiev-Durrmeyer operators for functions having derivatives of bounded variation.

Rank one property for derivatives of functions with bounded variation

1993 ◽  
Vol 123 (2) ◽  
pp. 239-274 ◽  
Author(s):  
Giovanni Alberti
Keyword(s):  
Bounded Variation ◽  
Measure Theory ◽  
Geometric Measure Theory ◽  
Geometric Measure ◽  
Rank One ◽  
Derivatives Of

SynopsisIn this paper we introduce a new tool in geometric measure theory and then we apply it to study the rank properties of the derivatives of vector functions with bounded variation.

scholarly journals Simultaneous Approximation for Generalized Srivastava-Gupta Operators

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Tuncer Acar ◽  
Lakshmi Narayan Mishra ◽  
Vishnu Narayan Mishra
Keyword(s):  
Rate Of Convergence ◽  
Bounded Variation ◽  
Simultaneous Approximation ◽  
Integrable Functions ◽  
Derivatives Of

We introduce a new Stancu type generalization of Srivastava-Gupta operators to approximate integrable functions on the interval0,∞and estimate the rate of convergence for functions having derivatives of bounded variation. Also we present simultenaous approximation by new operators in the end of the paper.

scholarly journals Inequalities for norms of derivatives of non-periodic functions with non-symmetric constraints on higher derivatives

2012 ◽  
Vol 20 ◽  
pp. 99
Author(s):  
V.A. Kofanov
Keyword(s):  
Real Line ◽  
Periodic Functions ◽  
Higher Derivatives ◽  
Derivatives Of

For non-periodic functions $x \in L^r_{\infty}(\mathbb{R})$ defined on the whole real line we established the analogs of certain inequality of V.F. Babenko.

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