Showing papers in "Filomat in 2004"
TL;DR: In this paper, a combination of methods used in [1]-20] and [22] were improved by removing the assumption of continuity, relaxing compatibility to weak compatibility property and replacing the completeness of the space with a set of four alternative conditions for functions satisfying an implicit relation.
Abstract: In this paper,using a combination of methods used in [1],[20] and [22] the results from [3, Theorem 1], [14,Theorem 1] and [15, Theorem 1] are improved by removing the assumption of continuity,relaxing compatibility to weak compatibility property and replacing the completeness of the space with a set of four alternative conditions for functions satisfying an implicit relation.
9 citations
TL;DR: In this article, singular integrals on product domains with kernels in L(logL) 2 (S ni1 £S mi1 ) supported by surfaces of revolutions were studied, and it was shown that their operators are bounded on L p under certain convexity assumptions on the surfaces.
Abstract: In this paper, we study singular integrals on product domains with kernels in L(logL) 2 (S ni1 £S mi1 ) supported by surfaces of revolutions. We prove that our operators are bounded on L p under certain convexity assumption on the surfaces. Also, in this paper we prove that the convexity assumption is not necessary for the L 2 boundedness to hold. Moreover, additional related results are presented. Our condition on the kernel is known to be optimal.
6 citations
TL;DR: In this article, a group-theoretic method of obtaining more general class of generating functions from a given class of improper partial bilateral generating functions involving Hermite is presented, where Laguerre and Gegenbauer polynomials are discussed.
Abstract: A group-theoretic method of obtaining more general class of generating functions from a given class of improper partial bilateral generating functions involving Hermite. Laguerre and Gegenbauer polynomials are discussed.
2 citations
TL;DR: In this article, new bounds for the Cebysev functional for sequences of vectors in normed linear spaces are presented, and some new bounds on the number of vectors that can be represented by vectors in a linear space.
Abstract: Some new bounds for Cebysev functional for sequences of vectors in normed linear spaces are pointed out.
2 citations
TL;DR: In this article, direct local and global estimates for Bernstein -type operators using Ditzian - Totik modulus of smoothness of second order were established for Bernstein type operators.
Abstract: Direct local and global estimates are established for Bernstein - type operators using Ditzian - Totik modulus of smoothness of second order.
1 citations