Results 91 to 100 of about 5,146,047 (210)

Construction of Lacunary Sequence Spaces via Modulus Function and Nörlund-Mean of Order α

Axioms
In this work, we introduce new classes of lacunary sequence spaces based on Nörlund-type means, a sequence of modulus functions and the order parameter ...
Hong-Wei Wang, Priyanka Sharma, Kuldip Raj, Sunil K. Sharma, Qing-Bo Cai   +4 more
doaj   +1 more source

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

Sakarya 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, Nimet P. Akın, Uğur Ulusu   +2 more
doaj   +1 more source

𝑁𝜃-Ward Continuity

Abstract and Applied Analysis, 2012
A function 𝑓 is continuous if and only if 𝑓 preserves convergent sequences; that is, (𝑓(𝛼𝑛)) is a convergent sequence whenever (𝛼𝑛) is convergent. The concept of 𝑁𝜃-ward continuity is defined in the sense that a function 𝑓 is 𝑁𝜃-ward continuous if it ...
Huseyin Cakalli
doaj   +1 more source

A VARIATION ON LACUNARY STATISTICAL QUASI CAUCHY SEQUENCES [PDF]

, 2017
In this paper, the concept of a lacunary statistically delta-quasi-Cauchy sequence is investigated. In this investigation, we proved interesting theorems related to lacunary statistically delta-ward continuity, and some other kinds of continuities.
Cakalli, Huseyin, Kaplan, Huseyin
core   +1 more source

Radial boundary values of lacunary power series

Karpatsʹkì Matematičnì Publìkacìï, 2014
We strengthened MacLane's theorem concerning radial boundary values of lacunary power series.
I.V. Andrusyak, P.V. Filevych
doaj   +1 more source

Some Generalized Lacunary statistically difference double semi-normed sequence spaces defined by Orlicz function - doi: 10.4025/actascitechnol.v35i1.15523

Acta Scientiarum: Technology, 2013
In this article, we have introduced the idea of statistically convergent generalized difference lacunary double sequence spaces [¯w2 (M, Δn, p,q)]θ, [¯w2 (M, Δn, p,q)]θ and defined over a semi norm space (X, q). Also we have study some basic properties
Ayhan Esi, Bipan Hazarika
doaj   +1 more source

On the (delta,f)-lacunary statistical convergence of the functions

, 2020
In this paper, we introduce the concept of ?f -lacunary statistical convergence for a ?-measurable real-valued function defined on time scale, where f is an unbounded modulus. Our motivation here is that this definition includes many well-known concepts which already exist in the literature.
SÖZBİR, Bayram, ALTUNDAĞ, Selma, BASARIR, Metin   +2 more
openaire   +2 more sources

The Attractors of the Common Differential Operator Are Determined by Hyperbolic and Lacunary Functions [PDF]

International Journal of Mathematics and Mathematical Sciences, 2008
For analytic functions, we investigate the limit behavior of the sequence of their derivatives by means of Taylor series, the attractors are characterized by ω‐limit sets. We describe four different classes of functions, with empty, finite, countable, and uncountable attractors.
openaire   +3 more sources

Strongly Lacunary Ward Continuity in 2-Normed Spaces

, 2020
A function defined on a subset of a 2-normed space is strongly lacunary ward continuous if it preserves strongly lacunary quasi-Cauchy sequences of points in ; that is, ( ( )) is a strongly lacunary quasi-Cauchy sequence whenever ( ) is strongly lacunary
Sibel Ersan, Hüseyin Çakalli
core  

Riesz almost lacunary multiple triple sequence spaces of $\Gamma^{3}$ defined by a Musielak-Orlicz function

, 2018
In this paper we introduce a new concept for Riesz almost lacunary $\Gamma^{3}$ sequence spaces strong $P-$ convergent to zero with respect to an Musielak-Orlicz function and examine some properties of the resulting sequence spaces. We also introduce and
N. Subramanian, N. Rajagopal, P. Thirunavukarasu   +2 more
core   +1 more source