Results 41 to 50 of about 123 (95)
A Note on Absolute Cesaro $\varphi-|C, 1; \delta; l|_k$ Summability Factor
International Journal of Analysis and Applications, 2017 A positive non-decreasing sequence has been used to establish a theorem on a minimal set of sufficient conditions for an infinite series to be absolute Cesaro $\varphi-|C, 1; \delta; l|_k$ summable.
Smita Sonker +2 more
doaj +2 more sources
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
Strong summability in Fréchet spaces with applications to Fourier series
, 1992 This paper examines strong Cesàro summability and strong Cesàro sectional boundedness of order 1 ⩽ r < ∞ in Banach and Fréchet spaces E. The major result shows these topological properties of E to be equivalent to multiplier properties of the form E ...
Buntinas, Martin
core +1 more source
Extension of Mazhar’s theorem on summability factors
Kuwait 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
On absolute summability for double triangle matrices
, 2010 A lower triangular infinite matrix is called a triangle if there are no zeros on the principal diagonal. The main result of this paper gives a minimal set of sufficient conditions for a double triangle T to be a bounded operator on ; i.e., T ∈ B () for ...
Ekrem Savaş +3 more
core +1 more source
A new study on generalized absolute Cesàro summability methods
, 2021 In this paper, we have proved a known theorem dealing with ϕ — |C, α|k summability factors of infinite series under more weaker conditions. Also, some new results are obtained.
Bor, Hüseyin
core
Matrix mappings and norms on the absolute Cesàro and weighted spaces
, 2020 In this paper, for α > -1 and k ≥ 1, we characterize the classes of all infinite matrices (|Cα|k, |Nup|), (|Cα|, |Nup|k), (|Nup|k, |Cα|) and (|Nup|k, |Cα|k), where the absolute spaces |Cα|k and |Nup|k are defined by Sarıgöl [22 - 24].
Güleç, Güllü Canan Hazar +2 more
core +1 more source
Çift seri uzayları ve cesàro ortalaması
, 2021 Bu tez dört ana bölümden oluşmaktadır. Giriş kısmı olan birinci bölümde, çift diziler ve serilerle ilgili literatürde yer alan bazı çalışmalardan bahsedilmiştir.
Bodur, Okan
core
Summability factor relations between absolute weighted and Cesàro means
, 2018 By (U, V), we denote the set of all sequences ;#x01d716;? = ?(;#x01d716;n) such that ??nan is summable V whenever ?an is summable U, where U and V are two summability methods. Recently, Sarıgöl has characterized the set (Formula presented.) for k ;gt; 1,?
Güllü Canan Hazar Güleç +1 more
core +1 more source
On absolute summability factors for $|\overline{N}, p_n|_k$ summability
, 1991 summary:In this paper a theorem on $|\overline{N}, p_n|_k$ summability factors, which generalizes a theorem of Mishra and Srivastava [MS] on $[C,1]_k$ summability factors, has been ...
Bor, Hüseyin
core