Results 21 to 30 of about 197 (149)

Lacunary statistical convergence of double sequences

Mathematical Communications, 2005
In 1978 Freedman, Sember, and Raphael presented a definition for lacunary refinement as follows: $\rho=\{\bar{k}_{r}\}$ is called a lacunary refinement of the lacunary sequence $\theta =\{k_{r}\}$ if $\{k_{r}\}\subseteq \{\bar{k}_{r}\}$. They use this definition to present one side inclusion theorem with respect to the refined and non refined sequence.
Patterson, Richard F., Savaş, Ekrem
openaire   +3 more sources

Ideal (I₂) Convergence in Fuzzy Paranormed Spaces for Practical Stability of Discrete-Time Fuzzy Control Systems Under Lacunary Measurements

Axioms
We investigate the stability of linear discrete-time control systems with a fuzzy logic feedback under sporadic sensor data loss. In our framework, each state measurement is a fuzzy number, and occasional “packet dropouts” are modeled by a lacunary ...
Muhammed Recai Türkmen, Hasan Öğünmez   +1 more
doaj   +2 more sources

More Than a Buffer in Biochemistry: Tris as an Architect and Gatekeeper of Metal-Oxo Assembly. [PDF]

Angew Chem Int Ed Engl
Tris(hydroxymethyl)aminomethane, depicted as an octopus, acts as an alkoxy ligand, chelator, and structure‐directing buffer that programs polyoxometalate's speciation, nucleation, and heterometal insertion in aqueous solution. ABSTRACT Polyoxometalates (POMs, molecular metal–oxo clusters) are typically studied and applied in aqueous media, where ...
Gumerova NI, Rompel A.
europepmc   +2 more sources

On Lacunary $\mathcal{I}_2^{\ast }$-Convergence and Lacunary $\mathcal{I}_2^{\ast }$-Cauchy Sequence

Communications in Advanced Mathematical Sciences, 2023
In the study conducted here, we have given some new concepts in summability. In this sense, firstly, we have given the concept of lacunary $\mathcal{I}_2^{\ast}$-convergence and we have investigated the relations between lacunary $\mathcal{I}_2 ...
Nimet Pancaroğlu Akın, Erdinç Dündar
doaj   +1 more source

On Strongly Lacunary $\mathcal{I}_2^{\ast }$-Convergence and Strongly Lacunary $\mathcal{I}_2^{\ast }$-Cauchy Sequence

Universal Journal of Mathematics and Applications, 2023
In the study conducted here, we have given some new concepts in summability theory. In this sense, firstly, using the lacunary sequence we have given the concept of strongly $\mathcal{I}_{\theta_2}^{\ast}$-convergence and we have examined the relations ...
Esra Gülle, Nimet Pancaroğlu Akın, Erdinç Dündar   +2 more
doaj   +1 more source

Double lacunary statistical convergence of order ? [PDF]

, 2015
The purpose of this paper is to study lacunary double statistical convergence of order ?. Furthermore some inclusion relations have been examined.
Savaş, Rahmet, Savaş, Ekrem
core   +4 more sources

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

Lacunary invariant statistical equivalence for double set sequences

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2022
Summary: In this paper, we introduce the notions of asymptotical strong \(\sigma_2\)-equivalence, asymptotical \(\sigma_2\)-statistical equivalence, asymptotical lacunary strong \(\sigma_2\)-equivalence and asymptotical lacunary \(\sigma_2\)-statistical equivalence in the Wijsman sense for double set sequences.
ULUSU, Uğur, DÜNDAR, Erdinç, PANCAROĞLU AKIN, Nimet   +2 more
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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

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

Mol 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