In this paper we prove the local L s regularity (where s depends on the summability of the data) for local " unbounded " weak solutions of a class of nonlinear parabolic equations including the p-Laplacian equation.

In this paper we prove a theorem concerning the relative strength of \R,P„\k and \R,qn\k summability methods, k > 1 , that generalizes a result of Bosanquet [1].

In this paper the concept of strongly (λM )p − Cesáro summability of a sequence of fuzzy numbers and strongly λM− statistically convergent sequences of fuzzy numbers is introduced. Keywords—Fuzzy numbers, statistical convergence, Orlicz space, gai sequence.

Abstract The main purpose of this paper is to use a power series summability method study some approximation properties Kantorovich type Szász–Mirakyan operators including Sheffer polynomials. We also establish Voronovskaya result.

In this article, we investigate the summability of formal power series solutions in time a certain class inhomogeneous partial differential equations with polynomial semilinearity, and variable coefficients. particular, give necessary sufficient conditions for k-summability given direction, where k is positive rational number entirely determined by linear part equation. These generalize ones au...

We quantify the elementary Borel–Cantelli Lemma by higher moments of overlap count statistic in terms weighted summability probabilities. Applications include mean deviation frequencies Strong Law and Iterated Logarithm.

We prove that allKK-homology classes of the stable (and unstable) Ruelle algebra a Smale space have explicit Fredholm module representatives ...