Various investigators such as Khan ([1-4]), Khan and Ram [5], Chandra [6,7], Leindler [8], Mishra et al. [9], Mishra [10], Mittal et al. [11], Mittal, Rhoades and Mishra [12], Mittal and Mishra [13], Rhoades et al. [14] have determined the degree of approximation of 2π-periodic signals (functions) belonging to various classes Lip   , Lip r   Lip     , r t  , and W L of functions throu...

Let $p(x)$ be a nondecreasing real-valued continuous function
 on $R_+:=[0,\infty)$ such that $p(0)=0$ and $p(x) \to \infty$ as $x \infty$.
 Given real or complex-valued integrable function $f$ in Lebesgue's sense every bounded interval $(0,x)$
 for $x>0$, symbol $f \in L^1_{loc} (R_+)$, we set
 $$
 s(x)=\int _{0}^{x}f(u)du
 and
 \sigma _{p}(s(x))=\frac{1}{...

in this study we introduce the concepts of statistical convergence of order$beta$ and strong $p-$ces`{a}ro summability of order $beta$ for sequencesof fuzzy numbers. also, we give some relations between the statisticalconvergence of order $beta$ and strong $p-$ces`{a}ro summability of order$beta$ and construct some interesting examples.

we then write sn → s(A), where A is the A method of summability. Appropriate choices of A= [an,k] for n,k ≥ 0 give the classical methods [2]. In this paper, we present various summability analogs of the strong law of large numbers (SLLN) and their rates of convergence in an unified setting, beyond the class of random-walk methods. A convolution summability method introduced in the next section ...

In this paper we have proved some theorems on weighted mean summability method by using analytical and summability techniques, which also extends the well known result of Hardy on the Cesàro summability.