In this paper, a quite new theorem on almost summability of Fourier-Jacobi series has been established. Our theorem extends and generalizes all previously known results of this line of work. Full text

A general theorem concerning some absolute summability factors of infinite series is proved. This theorem characterizes as well as generalizes our previous result [4]. Other results are also deduced.

HÜSEYİN BOR Abstract. In this paper, a general theorem dealing with the local property of | N̄ , pn, θn |k summability of factored Fourier series has been proved , which generalizes some known results. 2010 AMS Subject Classification: 40G99, 42A24, 42B08.

The aim of this work is to prove a Tauberian theorem for the Ingham summability method. The Taube-rian theorem we prove can be used to analyze asymptotics of mean values of multiplicative functions on natural numbers.