Tauberian Theorems for the Summability Methods of Logarithmic Type

Makaleler > Tam Makale · 2016

Yazarlar: SEFA ANIL SEZER, İbrahim ÇANAK

Bulletin of the Malaysian Mathematical Sciences Society, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2016, cilt 41, ss 1977-1994

DOI: 10.1007/s40840-016-0437-9

Özet

A sequence ( sn) of real numbers is said to be summable to a finite number. by the logarithmic method ( L) if converges for 0 < x < 1 and tends to. as x. 1 -. Our main object in this paper is to introduce new Tauberian conditions of the " one-sided bounded" or " slowly decreasing" type to retrieve ordinary convergence of a real sequence from its (L) summability.

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