Results 51 to 60 of about 664,619 (98)
Large sums of high‐order characters
Journal 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
A note on generalized harmonic-Cesàro summability
, 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
, 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
Some notes on a convexity theorem for Cesàro-type families of summability methods
, 1996 In this paper the convexity theorem well known for the family of Cesàro methods (see [4], Theorem 3.1) is transferred to the larger class of summability methods and applied to estimating the speed of ...
Tali, Anne +3 more
core +1 more source
A Tauberian theorem for the product of Abel and Cesàro summability methods
, 2016 In this paper, we prove a Tauberian theorem for the product of the Abel method and the Cesàro method of order ?, which improves some classical Tauberian theorems for the Abel and Cesàro summability methods.
Çanak I., Erdem Y.
core +1 more source
On strongly lacunary summability of sequences of sets [PDF]
, 2020 In this paper, we introduce the concept of Wijsman strongly lacunary summability for set sequences. Then, we discus its relation with Wijsman strongly Cesàro summability.
Fatih Nuray, Ugur Ulusu
core
, 2021 Cesàro summation is one of many summability methods that are able to assign values to, but not strictly to, some series without a sum. This thesis introduces this method and shows some of its interesting qualities.
Bouchalová, Kateřina
core
Alternative proofs of some classical type Tauberian theorems for the Cesàro summability of integrals
, 2012 In this paper, we give alternative proofs of some classical type Tauberian theorems for the Cesàro summability of improper integrals.
Totur Ü., Çanak I.
core +1 more source
On Cesàro summability of vector valued multiplier spaces and operator valued series
, 2017 In this paper, we introduce and study vector valued multiplier spaces with the help of the sequence of continuous linear operators between normed spaces and Cesàro convergence. Also, we obtain a new version of the Orlicz–Pettis Theorem by means of Cesàro
Altay, Bilal +3 more
core +1 more source
On generalized absolute summability factors [PDF]
, 2008 In this paper, a general theorem on | A, ? |k-summability factors which generalize a theorem of Savaş [E. Savaş, On a recent result on absolute summability factors, Appl. Math. Lett.
Savaş, Ekrem
core +1 more source