Results 51 to 60 of about 3,272,186 (195)

Applications of double lacunary sequences to n-norm [PDF]

Acta Universitatis Sapientiae, Mathematica, 2015
Abstract In the present paper we define some classes of double lacunary sequence spaces over n-normed spaces by means of a Musielak- Orlicz function. We study some relevant algebraic and topological properties. Further some inclusion relation among the classes are also examined.
Raj Kuldip, Sharma Sunil Kumar
openaire   +3 more sources

The Cesáro Lacunary Ideal bounded linear operator of χ2 - of φ-statistical vector valued defined by a bounded linear operator of interval numbers [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2017
Let   uv mn A be a sequence of bounded linear operators from a separable Banach metric space of (X , 0) into a Banach metric space (Y, 0). Suppose that φ ∈ Φ is a countable fundamental set of X and the ideal I - of subsets \mathbb{N} x \mathbb{N ...
Deepmala, N. Subramanian, Lakshmi Narayan Mishra   +2 more
doaj   +1 more source

On lacunary Δ^m-statistical convergence of triple sequence in intuitionisticfuzzy normed space

Mathematics and Computer Science
In this study, we define lacunary Δm-statistical convergence in the framework of intuitionistic fuzzy normed spaces (IFNS) for triple sequences. We prove several results for lacunary Δm-statistical convergence of triple sequence in IFNS.
T. Jalal, A. Jan
semanticscholar   +1 more source

Variations on lacunary statistical quasi Cauchy sequences [PDF]

AIP Conference Proceedings, 2019
In this paper, we introduce a concept of lacunary statistically p-quasi-Cauchyness of a real sequence in the sense that a sequence (αk) is lacunary statistically p-quasi-Cauchy if limr→∞1hr|{k ∈ Ir:|αk+p−αk|≥e}| = 0 for each e > 0. A function f is called lacunary statistically p-ward continuous on a subset A of the set of real numbers ℝ if it preserves
openaire   +4 more sources

Polyoxometalates for Health, Electronics, Energy, and the Environment: Challenges, Opportunities, and Future Horizons

ChemistryEurope, Volume 4, Issue 5, May 2026.
Polyoxometalates (POMs), illustrated as lemon‐like cars racing along a winding road, symbolize the accelerating progress of POM research toward technological applications. Global research communities, recent advances, and emerging opportunities highlight how coordinated efforts drive the transition of POM science from molecular discovery to deployable ...
Kirill Monakhov, Stanislav K. Petrovskii, De‐Liang Long, May Nyman, Axel Kahnt, Jonas Warneke, Chris Ritchie, Tatjana N. Parac‐Vogt, Scott G. Mitchell, Yu‐Fei Song, Marco Moors, Anna Proust, Dominique Vuillaume, Masahiro Sadakane, Graham N. Newton, Haralampos N. Miras   +15 more
wiley   +1 more source

Neutrosophic Fuzzy Tribonacci ℐ-Lacunary Statistical Convergent Sequence Spaces

Tatra Mountains Mathematical Publications
The aim of this paper is to introduce and investigate some neutrosophic fuzzy tribonacci ℐ-lacunary statistical convergent sequence spaces by utilizing the domain of regular tribonacci matrix A = (ajk).
V. Khan, Ömer Kişi, C. Choudhury
semanticscholar   +1 more source

A variation on lacunary statistical quasi cauchy sequences

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2017
In this paper, the concept of a lacunary statistically -quasi-Cauchysequence is investigated. In this investigation, we proved interesting theoremsrelated to lacunary statisticallycontinuities. A real valued function f de…ned on a subset A of R, the set ofreal numbers, is called lacunary statisticallyserves lacunary statistically delta quasi-Cauchy ...
CAKALLI, Hüseyin, KAPLAN, Hüseyin
openaire   +4 more sources

Moderate Deviation Principles for Lacunary Trigonometric Sums

Mathematische Nachrichten, Volume 299, Issue 5, Page 1028-1044, May 2026.
ABSTRACT Classical works of Kac, Salem, and Zygmund, and Erdős and Gál have shown that lacunary trigonometric sums despite their dependency structure behave in various ways like sums of independent and identically distributed random variables. For instance, they satisfy a central limit theorem (CLT) and a law of the iterated logarithm.
Joscha Prochno, Marta Strzelecka
wiley   +1 more source

ROUGH LACUNARY STATISTICAL ANALYSIS OF ORDER OF η OF TRIPLE DIFFERENCE SEQUENCE SPACES

Journal of Science and Arts
We generalized the concepts in the probability of rough lacunary statistical analysis of order η by introducing the difference operator Δ_γ^α of fractional order, where α is a proper fraction and γ=(γ_mnk ) is any fixed sequence of nonzero real or ...
Nagarajan Subramanian, Ayhan Esi
semanticscholar   +1 more source

Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
wiley   +1 more source