The Tauberian theorems for the slowly variating with residual functions and their applications

Journal Title: Проблемы анализа-Issues of Analysis - Year 2012, Vol 1, Issue 1

Abstract

В статье доказываются две тауберовых теоремы для преобразования Лапласа медленно меняющихся с остатком функций и рассматриваются их приложения к суммам значений неотрицательных мультипликативных функций, связанных с проблемой Вирзинга, поставленной им в 1967 г. в работе [1].

Authors and Affiliations

B. M. Shirokov

Keywords

Related Articles

СХОДИМОСТЬ СЕТОЧНО-ИНТЕРПОЛЯЦИОННЫХ АППРОКСИМАЦИЙ РЕШЕНИЯ КВАЗИЛИНЕЙНОЙ ПАРАБОЛИЧЕСКОЙ КРАЕВОЙ ЗАДАЧИ НА ОТРЕЗКЕ

В статье рассматривается квазилинейная параболическая краевая задача III рода на отрезке: коэффициенты уравнения и правые части граничных условий нелинейно зависят от времени, точки и предыстории решения. Доказана сходим...

REGULARITY AND SENSITIVITY FOR MCKEAN-VLASOV TYPE SPDEs GENERATED BY STABLE-LIKE PROCESSES

In this paper we study the sensitivity of nonlinear stochastic differential equations of McKean–Vlasov type generated by stable-like processes. By using the method of stochastic characteristics, we transfer these equatio...

A NOTE ON THE EFFECT OF PROJECTIONS ON BOTH MEASURES AND THE GENERALIZATION OF q-DIMENSION CAPACITY

In this paper, we are concerned both with the properties of the generalization of the L^q-spectrum relatively to two Borel probability measures and with the generalized q-dimension Riesz capacity. We are also interested...

QUASI-ISOMETRIC MAPPINGS AND THE P-MODULI OF PATH FAMILIES

In this article, we study a connection between quasiisometric mappings of n-dimensional domains and the p-moduli of path families. In particular, we obtain explicit (and sharp) estimates for the distortion of the p-modul...

DISCRETE LEAST SQUARES APPROXIMATION OF PIECEWISE-LINEAR FUNCTIONS BY TRIGONOMETRIC POLYNOMIALS

Let N be a natural number greater than 1. Select N uniformly distributed points t_k = 2πk/N (0 ≤ k ≤ N − 1) on [0, 2π]. Denote by L_{n,N} (f) = L_{n,N} (f, x) (1 ≤ n ≤ N/2) the trigonometric polynomial of order n possess...

Download PDF file
  • EP ID EP234573
  • DOI 10.15393/j3.art.2012.1723
  • Views 88
  • Downloads 0

How To Cite

B. M. Shirokov (2012). The Tauberian theorems for the slowly variating with residual functions and their applications. Проблемы анализа-Issues of Analysis, 1(1), 32-39. https://europub.co.uk/articles/-A-234573