In this paper we prove that if Λ ∈ M p (R N) and has compact support then Λ is a weak summability kernel for 1 < p <

The paper introduces a new concept of strong summability and statistical convergence of sequence of fuzzy numbers. Further, these two concepts are studied and established relations between them.

In this paper we shall discuss the relation of the convergence or (C, 1) summability of a sequence to that of its subsequences. Some analogous questions for subseries have been considered [ö]. Let {sn} be an arbitrary sequence. We can obtain a 1-1 map of its infinite subsequences on the interval 0 < / ^ l as follows. Let /= .a ia 2 a 3 • • • be the infinite dyadic expansion of a point / of the ...

Let A = (ank)∞n,k=1 be an infinite matrix and x = (xk) ∞ k=1 a sequence of real or complex numbers. Then the A-transform of x is a sequence Ax = (An(x))where An(x) = ∑ ∞ k=1 ankxk provided that the series converges for each n; and the sequence x is said to be A-summable if Ax is convergent. In this paper we define statistical A-summability of x, that is, x is said to be statistically A-summable...

In this talk, we prove convergence for fully decoupled numerical schemes for diffuse interface models for two-phase flow of immiscible, incompressible viscous fluids with different mass densities. The model under consideration is consistent with thermodynamics and it allows for a solenoidal velocity field (see Abels,Garcke,Grün, M3AS 2012). It couples a novel momentum equation for the velocity ...

Complete List of Authors: Oláh, Attila; University of Debrecen, Department of Physiology Ambrus, Lídia; University of Debrecen, Department of Physiology Nicolussi, Simon; University of Bern, Institute of Biochemistry and Molecular Medicine, NCCR TransCure Gertsch, Jürg; University of Bern, Institute of Biochemistry and Molecular Medicine, NCCR TransCure Tubak, Vilmos; Creative Laboratory Ltd, K...

In the present innovative pursuit, the generalized Nörlund summability method, that is, the (N, c, d) summation process of Fourier series of f (x) as well defined by Borwein [4] has been invoked to approximate the function f (x) belonging to Lip M α (0 < α < 1 ) and M being some constant. Here it is worth-emphasising that not only mere approximation, but also the constants appeared in the proce...

After a brief summary of Tauberian conditions for ordinary sequences of numbers, we consider summability of double sequences of real or complex numbers by weighted meanmethods which are not necessarily products of related weighted mean methods in one variable. Our goal is to obtain Tauberian conditions under which convergence of a double sequence follows from its summability, where convergence ...

In this paper, we will review the process of ev idence accumulation in the PSEIKI system for expectation-driven interpretation of images of 3-D scenes . Expectations are presented to PSEIKI as a geometrical hierarchy of abstractions. PSEIKI's job is then to construct abstraction hierarchies in the perceived image taking cues from the abstrac­ tion hierarchies in the expectations. The Dempster-S...