Results 11 to 20 of about 612 (55)

Determinants of two kinds of matrices whose elements involve sine functions

open access: yesOpen Mathematics, 2019
The presented paper is strictly connected, among others, with the paper On the sum of some alternating series, Comp. Math. Appl. (2011), written by Wituła and Słota.
Różański Michał
doaj   +1 more source

A Mean Ergodic Theorem for Affine Nonexpansive Mappings in Nonpositive Curvature Metric Spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
In this paper, we consider the orbits of an affine nonexpansive mapping in Hadamard (nonpositive curvature metric) spaces and prove an ergodic theorem for the inductive mean, which extends the von Neumann linear ergodic theorem.
Khatibzadeh Hadi, Pouladi Hadi
doaj   +1 more source

Fractional Statistics in terms of the r-Generalized Fibonacci Sequences [PDF]

open access: yes, 2001
We develop the basis of the two dimensional generalized quantum statistical systems by using results on $r$-generalized Fibonacci sequences. According to the spin value $s$ of the 2d-quasiparticles, we distinguish four classes of quantum statistical ...
E. H. SAIDI   +6 more
core   +2 more sources

Tauberian theorems for statistically (C,1,1) summable double sequences of fuzzy numbers

open access: yesOpen Mathematics, 2017
In this paper, we prove that a bounded double sequence of fuzzy numbers which is statistically convergent is also statistically (C, 1, 1) summable to the same number. We construct an example that the converse of this statement is not true in general.
Önder Zerrin   +2 more
doaj   +1 more source

A family of Cantorvals

open access: yesOpen Mathematics, 2019
The set of subsums of the series ∑n=1∞$\begin{array}{} \sum_{n=1}^{\infty} \end{array}$ xn is known to be one of three types: a finite union of intervals, homeomorphic to the Cantor set, or of the type known as a Cantorval.
Ferdinands John, Ferdinands Timothy
doaj   +1 more source

Some new facts about group 𝒢 generated by the family of convergent permutations

open access: yesOpen Mathematics, 2017
The aim of this paper is to present some new and essential facts about group 𝒢 generated by the family of convergent permutations, i.e. the permutations on ℕ preserving the convergence of series of real terms.
Wituła Roman   +2 more
doaj   +1 more source

Lineability and modes of convergence [PDF]

open access: yes, 2020
In this paper we look for the existence of large linear and algebraic structures of sequences of measurable functions with different modes of convergence. Concretely, the algebraic size of the family of sequences that are convergent in measure but not a.
Calderón Moreno, María del Carmen   +2 more
core  

A curious result related to Kempner's series

open access: yes, 2008
It is well known since A. J. Kempner's work that the series of the reciprocals of the positive integers whose the decimal representation does not contain any digit 9, is convergent. This result was extended by F.
Farhi, Bakir
core   +1 more source

On an Euler–Abel Type Transform of Trigonometric Series

open access: yesAbstract and Applied Analysis
MSC2020 Classification: Primary 65B10, Secondary 42A38, 40A25 ...
N. Sh. Berisha, F. M. Berisha, M. Sadiku
doaj   +1 more source

On sequences not enjoying Schur’s property

open access: yesOpen Mathematics, 2017
Here we proved the existence of a closed vector space of sequences - any nonzero element of which does not comply with Schur’s property, that is, it is weakly convergent but not norm convergent. This allows us to find similar algebraic structures in some
Jiménez-Rodríguez Pablo
doaj   +1 more source

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