Results 11 to 20 of about 3,558,379 (193)

Fractional variational problems with the Riesz-Caputo derivative [PDF]

open access: yes, 2012
In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R.   +2 more
core   +1 more source

The dyadic Riesz vector I [PDF]

open access: yes, 2023
We derive a dyadic model operator for the Riesz vector. We show linear lower $L^p$ bounds for $1 < p < \infty$ between this model operator and the Riesz vector, when applied to functions with values in Banach spaces.
Domelevo, Komla, Petermichl, Stefanie
core   +1 more source

On a new application of quasi power increasing sequences

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2019
In the present paper, absolute matrix summability of infinite series has been studied. A new theorem concerned with absolute matrix summability factors, which generalizes a known theorem dealing with absolute Riesz summability factors of infinite series,
H.S. Özarslan
doaj   +1 more source

A Theorem on Absolute Summability of Infinite Series

open access: yesCumhuriyet Science Journal, 2019
Inthis paper, a theorem on absolute summability of infinite series is obtained bytaking almost increasing sequence instead of positive non-decreasing sequence.Also, some results of absolute summability are given.
Bağdagül Kartal
doaj   +1 more source

Several theorems on λ–summable series

open access: yesMathematical Modelling and Analysis, 2010
We prove several propositions on λ‐summable series by Cesàro method (C, 1) or by weighted mean methods N, which are also often called Riesz methods P = (R, pn ).
Olga Meronen, Ivar Tammeraid
doaj   +1 more source

The dyadic Riesz vector II [PDF]

open access: yes, 2023
We derive a dyadic model operator for the Riesz vector. We show linear upper $L^p$ bounds for $1 < p < \infty$ between this model operator and the Riesz vector, when applied to functions with values in Banach spaces.
Domelevo, Komla, Petermichl, Stefanie
core   +1 more source

On the Riesz means of δ k (n) [PDF]

open access: yesHardy-Ramanujan Journal, 2018
Let k ≥ 1 be an integer. Let δ k (n) denote the maximum divisor of n which is co-prime to k. We study the error term of the general m-th Riesz mean of the arithmetical function δ k (n) for any positive integer m ≥ 1, namely the error term E m,k (x) where 1 m! n≤x δ k (n) 1 − n x m = M m,k (x) + E m,k (x).
openaire   +2 more sources

On some spaces of lacunary convergent sequences derived by Nörlund-type mean and weighted lacunary statistical convergence

open access: yesArab Journal of Mathematical Sciences, 2014
In this paper, we define some new sequence spaces of lacunary convergent sequences derived by Nörlund-type (Riesz) mean, which shall be denoted by |N‾,pr,θ| and (N‾,pr,θ), and investigate some relations between the sequence space |N‾,pr,θ| with the ...
Metin Başarır, Şükran Konca
doaj   +1 more source

Riesz means on symmetric spaces [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2021
Let $X$ be a non-compact symmetric space of dimension $n$. We prove that if $f\in L^{p}(X)$, $1\leq p\leq 2$, then the Riesz means $S_{R}^{z}\left( f\right)$ converge to $f$ almost everywhere as $R\rightarrow \infty $, whenever $\operatorname{Re}z>\left( n-\frac{1}{2}\right) \left( \frac{2}{p}-1\right) $.
A. Fotiadis, E. Papageorgiou
openaire   +3 more sources

Boundary Controllability and Observability of a Viscoelastic String [PDF]

open access: yes, 2012
In this paper we consider an integrodifferential system, which governs the vibration of a viscoelastic one-dimensional object. We assume that we can act on the system at the boundary and we prove that it is possible to control both the position and the ...
Avdonin S.   +8 more
core   +1 more source

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