Add to ORKG2000 Mathematics Subject Classification: 46B70, 41A10, 41A25, 41A27, 41A35, 41A36, 42A10.The paper presents a method of relating two K-functionals by means of a continuous linear transform of the function. In particular, a characterization of various weighted K-functionals by unweighted fixed-step moduli of smoothness is derived. This is applied in estimating the rate of convergence of several approximation processes.Partially supported by grant No. 103/2007 of the National Science Fund of the Sofia University
AbstractWe prove necessary and sufficient conditions for linear operators to approximate and interpo...
AbstractThe degree of approximation inLp-spaces by positive linear operators is estimated in terms o...
AbstractWe state some pointwise estimates for the rate of weighted approximation of a continuous fun...
AbstractThe paper presents a method for establishing direct and strong converse inequalities in term...
AbstractThe degree of Lp-approximation for a class of positive convolution operators is investigated...
AbstractA theorem of Bojanic gives a precise estimate on the rate of convergence of the Fourier seri...
2000 Mathematics Subject Classification: 46B70, 41A25, 41A17, 26D10. ∗Part of the results were repor...
AbstractThe purpose of this paper is to study the approximation of vector-valued mappings defined on...
AbstractFor a certain class of sequences (Ln) of linear positive operators that are related to sums ...
AMS Subject Classification 2010: 41A25, 41A35, 41A40, 41A63, 41A65, 42A38, 42A85, 42B10, 42B20The pa...
AbstractThis note is concerned with positive linear approximation processes φn(f; t) (n = 1, 2, …) o...
We prove two-sided inequalities between the integral moduli of smoothness of a function on R d[super...
AbstractOne proves that Peetre's K-functional for the couple (C(X,Lip(X)) and the first order modulu...
AbstractThe author introduced in an earlier paper a modulus of smoothness for nonperiodic functions ...
AbstractLet ƒ be a function in Lp(T), 1 ⩽ p < +∞, or le ƒ be a continuous function on the torus T if...
AbstractWe prove necessary and sufficient conditions for linear operators to approximate and interpo...
AbstractThe degree of approximation inLp-spaces by positive linear operators is estimated in terms o...
AbstractWe state some pointwise estimates for the rate of weighted approximation of a continuous fun...
AbstractThe paper presents a method for establishing direct and strong converse inequalities in term...
AbstractThe degree of Lp-approximation for a class of positive convolution operators is investigated...
AbstractA theorem of Bojanic gives a precise estimate on the rate of convergence of the Fourier seri...
2000 Mathematics Subject Classification: 46B70, 41A25, 41A17, 26D10. ∗Part of the results were repor...
AbstractThe purpose of this paper is to study the approximation of vector-valued mappings defined on...
AbstractFor a certain class of sequences (Ln) of linear positive operators that are related to sums ...
AMS Subject Classification 2010: 41A25, 41A35, 41A40, 41A63, 41A65, 42A38, 42A85, 42B10, 42B20The pa...
AbstractThis note is concerned with positive linear approximation processes φn(f; t) (n = 1, 2, …) o...
We prove two-sided inequalities between the integral moduli of smoothness of a function on R d[super...
AbstractOne proves that Peetre's K-functional for the couple (C(X,Lip(X)) and the first order modulu...
AbstractThe author introduced in an earlier paper a modulus of smoothness for nonperiodic functions ...
AbstractLet ƒ be a function in Lp(T), 1 ⩽ p < +∞, or le ƒ be a continuous function on the torus T if...
AbstractWe prove necessary and sufficient conditions for linear operators to approximate and interpo...
AbstractThe degree of approximation inLp-spaces by positive linear operators is estimated in terms o...
AbstractWe state some pointwise estimates for the rate of weighted approximation of a continuous fun...