Results 101 to 110 of about 3,272,186 (195)

Lacunary statistical summability of sequences of sets

open access: yes, 2014
In this paper we define the WS_θ-analog of the Cauchy criterion for convergence and show that it is equivalent to Wijsman lacunary statistical convergence. Also, Wijsman lacunary statistical convergence is compared to other summability methods which are defined in this paper.
Ulusu, Uğur, Nuray, Fatih
openaire   +2 more sources

Statistical convergence of order α in probability

open access: yesArab Journal of Mathematical Sciences, 2015
In this paper the ideas of different types of convergence of a sequence of random variables in probability, namely, statistical convergence of order α in probability, strong p-Cesàro summability of order α in probability, lacunary statistical ...
Pratulananda Das   +2 more
doaj   +1 more source

Some New Lacunary Strong Convergent Vector-Valued Sequence Spaces

open access: yesAbstract and Applied Analysis, 2014
We introduce some vector-valued sequence spaces defined by a Musielak-Orlicz function and the concepts of lacunary convergence and strong (A)-convergence, where A=(aik) is an infinite matrix of complex numbers.
M. Mursaleen   +2 more
doaj   +1 more source

Sections and Lacunary Sums of Linearly Recurrent Sequences

open access: yesAdvances in Applied Mathematics, 1999
The paper deals with the space of linear recurrent sequences, i.e., the complex vector space generated by all the sequences \(s_{a,k}(m) = {m \choose k}a^{m-k}\), for \(a\) a complex number and \(k\) a natural number. The author studies sections and sums of linear recurrent sequences.
openaire   +1 more source

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

open access: yesAxioms
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   +1 more
doaj   +1 more source

On Lacunary p-Absolutely Summable Fuzzy Real-Valued Double Sequence Space

open access: yesDemonstratio Mathematica, 2014
In this article, we introduce the class of p-absolutely summable fuzzy real valued double sequence (2lp)Fθ We have studied some algebraic properties like solid, symmetric, convergence free, sequence algebra.
Dutta Amar Jyoti   +2 more
doaj   +1 more source

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

open access: yesInternational 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.
Wolf Bayer
doaj   +1 more source

Lacunary sequence spaces defined by Musielak-Orlicz function

open access: yesLe Matematiche, 2013
In this paper we introduce lacunary sequence spaces defined by a Musielak-Orlicz function M = (M_k) and a sequence of modulus functions F = (f_k). We also make an effort to study some topological properties and inclusion relations between these spaces.
Kuldip Raj, Sunil K. Sharma
doaj  

Variations on the strongly lacunary quasi Cauchy sequences

open access: yesFilomat, 2019
In this paper, we introduce concepts of a strongly lacunary p-quasi-Cauchy sequence and strongly lacunary p-ward continuity. We prove that a subset of R is bounded if and only if it is strongly lacunary p-ward compact. It is obtained that any strongly lacunary p-ward continuous function on a subset A of R is continuous in the ordinary sense.
openaire   +3 more sources

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