Results 31 to 40 of about 2,765 (179)

Riesz Lacunary Sequence Spaces of Fractional Difference Operator

open access: yesKragujevac Journal of Mathematics, 2022
In this paper, we intend to make new approach to introduce and study some fractional difference sequence spaces by Riesz mean associated with infinite matrix and a sequence of modulus functions over n -normed spaces. Various algebraic and topological properties of these newly formed sequence spaces have been explored and some inclusion relations ...
Raj, Kuldip   +2 more
openaire   +2 more sources

Density by Moduli and Lacunary Statistical Convergence

open access: yesAbstract and Applied Analysis, 2016
We have introduced and studied a new concept of f-lacunary statistical convergence, where f is an unbounded modulus. It is shown that, under certain conditions on a modulus f, the concepts of lacunary strong convergence with respect to a modulus f and f ...
Vinod K. Bhardwaj, Shweta Dhawan
doaj   +1 more source

Some new lacunary $f$-statistical $A$-convergent sequence spaces of order $\alpha$ [PDF]

open access: yes, 2015
We study the concept of density for sets of natural numbers in some lacunary $A$-convergent sequence spaces. Also we are trying to investigate some relation between the ordinary convergence and module statistical convergence for evey unbounded modulus ...
Borgohain, Stuti, Savas, Ekrem
core   +2 more sources

On Modulated Lacunary Statistical Convergence of Double Sequences

open access: yesMathematics, 2023
In earlier works, F. León and coworkers discovered a remarkable structure between statistical convergence and strong Cesàro convergence, modulated by a function f (called a modulus function).
María del Pilar Romero de la Rosa
doaj   +1 more source

Asymptotically Lacunary Statistical Equivalence of Double Sequences of Sets

open access: yesDemonstratio Mathematica, 2016
The concepts of Wijsman asymptotically equivalence, Wijsman asymptotically statistically equivalence, Wijsman asymptotically lacunary equivalence and Wijsman asymptotically lacunary statistical equivalence for sequences of sets were studied by Ulusu and ...
Nuray F., Patterson R. F., Dündar E.
doaj   +1 more source

Orlicz arithmetic convergence defined by matrix transformation and lacunary sequence [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2020
In this paper we introduce and study some spaces of Orlicz arithmetic convergence sequences with respect to matrix transformation and lacunary sequence.
Kuldip Raj, Anu Choudhary
doaj   +1 more source

Asymptotically Lacunary I-Invariant Statistical Equivalence of Sequences of Sets Defined By A Modulus Function

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018
Inthis paper, we introduce the concepts of strongly asymptotically lacunary I-invariant equivalence, f-asymptoticallylacunary I-invariant equivalence, strongly f-asymptotically lacunary I-invariant equivalence and asymptotically lacunary I-invariant ...
Erdinç Dundar   +2 more
doaj   +1 more source

Two Erdos problems on lacunary sequences: Chromatic number and Diophantine approximation

open access: yes, 2007
Let ${n_k}$ be an increasing lacunary sequence, i.e., $n_{k+1}/n_k>1+r$ for some $r>0$. In 1987, P. Erdos asked for the chromatic number of a graph $G$ on the integers, where two integers $a,b$ are connected by an edge iff their difference $|a-b|$ is in ...
Peres, Yuval, Schlag, Wilhelm
core   +1 more source

EACR 2025 Congress: Innovative Cancer Science, 16-19 June 2025. [PDF]

open access: yesMol Oncol
Abstracts submitted to the ‘EACR 2025 Congress: Innovative Cancer Science’, from 16–19 June 2025 and accepted by the Congress Organising Committee are published in this Supplement of Molecular Oncology, an affiliated journal of the European Association for Cancer Research (EACR).
europepmc   +2 more sources

Directional discrepancy in two dimensions

open access: yes, 2009
In the present paper, we study the geometric discrepancy with respect to families of rotated rectangles. The well-known extremal cases are the axis-parallel rectangles (logarithmic discrepancy) and rectangles rotated in all possible directions ...
Bilyk, Dmitriy   +3 more
core   +1 more source

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