Results 51 to 60 of about 629,945 (93)

Cesàro and Borel-type summability

open access: yes, 1988
Though summability of a series by the Cesàro method C p {C_p} does not in general imply its summability by the Borel-type method ( B , α , β )
Tom Markovich, David Borwein
core   +1 more source

Unconditionally Cauchy series and Cesàro summability [PDF]

open access: yes, 2006
In this paper we obtain new characterizations of weakly unconditionally Cauchy series and unconditionally convergent series through Cesàro summability. We study new spaces associated to a series in a Banach space; as a consequence, new characterizations ...
Gutiérrez-Dávila, A.   +2 more
core   +1 more source

Extension of Mazhar’s theorem on summability factors

open access: yesKuwait Journal of Science, 2015
By  (X; Y ) we denote the set of all sequences such thatPa nnis summable  X wheneverPa n is summable Y , where X and Y are sum-mability methods. In this paper we characterize the set  (jC; jk ;N; p n)  fork >  1; > 􀀀1 and arbitrary positive ...
MEHMET ALI SARIGOL
doaj  

Large sums of high‐order characters

open access: yesJournal of the London Mathematical Society, Volume 109, Issue 1, January 2024.
Abstract Let χ$\chi$ be a primitive character modulo a prime q$q$, and let δ>0$\delta > 0$. It has previously been observed that if χ$\chi$ has large order d⩾d0(δ)$d \geqslant d_0(\delta)$ then χ(n)≠1$\chi (n) \ne 1$ for some n⩽qδ$n \leqslant q^{\delta}$, in analogy with Vinogradov's conjecture on quadratic non‐residues.
Alexander P. Mangerel
wiley   +1 more source

Some further extensions of absolute Cesàro summability for double series [PDF]

open access: yes, 2013
In a recent paper [SavaAY and Rhoades in Appl. Math. Lett. 22:1462-1466, 2009], the authors extended the result of Flett [Proc. Lond. Math. Soc. 7:113-141, 1957] to double summability.
Ekrem Savaş   +3 more
core   +1 more source

Some Tauberian theorems for the product method of Borel and Cesàro summability [PDF]

open access: yes, 2012
In this paper we prove several new Tauberian theorems for the product of Borel and Cesàro summability methods which improve classical Tauberian theorems for the Borel summability ...
Erdem, Yılmaz, Totur, Ümit
core   +1 more source

Tauberian theorems for Cesàro summability of sequences of fuzzy numbers

open access: yes, 2014
In this paper we use the concept of the Cesàro convergence of a sequence of fuzzy numbers defined by Subrahmanyam [Cesàro summability of fuzzy real numbers, Anal, 7 (1999), 159-168] to prove some Tauberian theorems for sequences of fuzzy numbers and ...
Çanak I.
core   +1 more source

Cesàro wedge and weak Cesàro wedge $FK$-spaces [PDF]

open access: yes, 2002
summary:In this paper we deal with Cesàro wedge and weak Cesàro wedge $FK$-spaces, and give several characterizations.
Ince, H. G., Ince, HATİCE GÜL
core   +1 more source

A note on generalized harmonic-Cesàro summability

open access: yes, 1984
This note shows that conjectures proposed by G. Das and P.C. Mohapatra [1] on inclusion relations between two generalized Harmonic-Cesàro methods of summability, are ...
Hiroshi Hiorkawa
core   +1 more source

Multidimensional Linear Functional Connected with Double Strong Cesàro Summability

open access: yes, 2020
In 1964 Borwein presented functional characterization of the normed linear spaces wp and Wp. These two spaces are clearly linked to Cesàro summability [C, 1] in particular it should be noted that a sequence x in wp if and only if x is Cesàro summable ...
Savas, Rabia   +2 more
core   +1 more source

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