scholarly journals Bilipschitz mappings with derivatives of bounded variation

2008 ◽  
Vol 52 ◽  
pp. 91-99
Author(s):  
S. Hencl
Keyword(s):  
Bounded Variation ◽  
Bilipschitz Mappings ◽  
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.

Generalized systems of linear differential equations

1981 ◽  
Vol 89 (1-2) ◽  
pp. 1-14 ◽  
Author(s):  
Rainer Pfaff
Keyword(s):  
Differential Equations ◽  
Bounded Variation ◽  
Higher Order ◽  
Linear Differential Equations ◽  
Differential Systems ◽  
First Order ◽  
Linear Differential Systems ◽  
Generalized Systems ◽  
Linear Differential ◽  
Derivatives Of

SynopsisWe consider ordinary linear differential systems of first order with distributional coefficients and distributional nonhomogeneous terms. Firstly the coefficients are assumed to be functions, secondly to be first order distributions (i.e. first derivatives of functions which are integrable or of bounded variation), and thirdly to be distributions of higher order.

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