Add to ORKGR.P. Boas has found necessary and sufficient conditions of belonging of function to Lipschitz class. From his findings it turned out, that the conditions on sine and cosine coefficients for belonging of function to Lip α(0 < α < 1) are the same, but for Lip 1 are different. Later his results were generalized by many authors in the viewpoint of generalization of condition on the majorant of modulus of continuity. The aim of this paper is to obtain Boas-type theorems for generalized Lipschitz classes. To define generalized Lipschitz classes we use the concept of modulus of smoothness of fractional order
In this paper we provide necessary conditions for the Bolza problem which are obtained by using a ge...
AbstractMaking use of certain operators of fractional calculus, we introduce a new class Tμ(n,λ,α) o...
We study a collection of subclasses of BMOA defined by means of a modified Garcia norm and show that...
R.P. Boas has found necessary and sufficient conditions of belonging of function to Lipschitz class....
R.P. Boas has found necessary and sufficient conditions of belonging of function to Lipschitz class....
We investigate the conditions under which global smoothness of a function f (as measured by its modu...
In this paper we consider the properties of moduli of smoothness of fractional order. The main resul...
AbstractWe study the smoothness property of a function f with absolutely convergent Fourier series, ...
In this paper we obtain the necessary and sufficient conditions for embedding results of different f...
given, necessary and sufficient conditions, so that a function with double Fourier series belongs th...
AbstractA necessary and sufficient condition is obtained for (Cω, Cω) multipliers in the case of a s...
AbstractIn a recent monograph (cf. No. 293 of the Memoirs of the Amer. Math. Soc. 47 (1984)) DeVore ...
Abstract: In the analysis of functions and multi-valued map-pings of Lipschitzian type, there are ma...
AbstractLet A be the class of analytic functions in the open unit disk U. Given 0 ≤ λ < 1, let Ωλ be...
Abstract. For certain univalent function f, we study a class of functions f as defined by making use...
In this paper we provide necessary conditions for the Bolza problem which are obtained by using a ge...
AbstractMaking use of certain operators of fractional calculus, we introduce a new class Tμ(n,λ,α) o...
We study a collection of subclasses of BMOA defined by means of a modified Garcia norm and show that...
R.P. Boas has found necessary and sufficient conditions of belonging of function to Lipschitz class....
R.P. Boas has found necessary and sufficient conditions of belonging of function to Lipschitz class....
We investigate the conditions under which global smoothness of a function f (as measured by its modu...
In this paper we consider the properties of moduli of smoothness of fractional order. The main resul...
AbstractWe study the smoothness property of a function f with absolutely convergent Fourier series, ...
In this paper we obtain the necessary and sufficient conditions for embedding results of different f...
given, necessary and sufficient conditions, so that a function with double Fourier series belongs th...
AbstractA necessary and sufficient condition is obtained for (Cω, Cω) multipliers in the case of a s...
AbstractIn a recent monograph (cf. No. 293 of the Memoirs of the Amer. Math. Soc. 47 (1984)) DeVore ...
Abstract: In the analysis of functions and multi-valued map-pings of Lipschitzian type, there are ma...
AbstractLet A be the class of analytic functions in the open unit disk U. Given 0 ≤ λ < 1, let Ωλ be...
Abstract. For certain univalent function f, we study a class of functions f as defined by making use...
In this paper we provide necessary conditions for the Bolza problem which are obtained by using a ge...
AbstractMaking use of certain operators of fractional calculus, we introduce a new class Tμ(n,λ,α) o...
We study a collection of subclasses of BMOA defined by means of a modified Garcia norm and show that...