1 citations · 1 across the 4 of their papers we have counts for
5 papers
Addendum to my paper `The Lebesgue summability of trigonometric integrals" (J. Math. Anal. Appl. 390 (2012), 188-196)
Ferenc Moricz
We observed that statement (2.9) in Theorem 2 remains valid if condition (2.7) is replaced by the weaker condition that $$f(t) \in L^1(-T, T) \quad {\rm for\ all} \quad T>0.\eqno(2…
Statistical extension of classical Tauberian theorems in the case of logarithmic summability of locally integrable functions on
Ferenc Moricz, Zoltan Nemeth
Let $s:[1,\infty) \to \C $ be a locally integrable function in Lebesgue's sense. The logarithmic (also called harmonic) mean of the function is defined by [τ(t) := \frac 1{\log…
Necessary and sufficient Tauberian conditions for the logarithmic summability of functions and sequences
Ferenc Moricz
Let $s: [1, \infty) \to \C$ be a locally integrable function in Lebesgue's sense on the infinite interval . We say that is summable if there exists some $…
On the convergence of double integrals and a generalized version of Fubini's theorem on successive integration
Ferenc Moricz
Let the function $f: \bar{\R}^2_+ \to \C$ be such that $f\in L^1_{\loc} (\bar{\R}^2_+)$. We investigate the convergence behavior of the double integral $$\int^A_0 \int^B_0 f(u,v) d…
On the regular convergence of multiple series of numbers and multiple integrals of locally integrable functions over
Ferenc Moricz
We investigate the regular convergence of the -multiple series $$\sum^\infty_{j_1=0} \sum^\infty_{j_2=0}...\sum^\infty_{j_m=0} \ c_{j_1, j_2,..., j_m}\leqno(*)$$ of complex numb…