Invariant and Lacunary Invariant Statistical Equivalence of Order ? for Double Set Sequences

نویسندگان

چکیده

In this study, as a new approach to the concept of asymptotical equivalence in Wijsman sense for double set sequences, concepts which are called invariant statistical order ? and lacunary (0<??1) sequences introduced explained with examples. addition, existence some relations between these furthermore, relationships previously studied investigated.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Lacunary Invariant Statistical Convergence of Fuzzy Numbers

In this paper, we introduce the concepts of invariant convergence, lacunary invariant statistical convergence of sequences of fuzzy numbers and lacunary strongly invariant convergence of sequences of fuzzy numbers. We give some relations related to these concepts.

متن کامل

Lacunary Statistical Convergence of Difference Double Sequences

In this paper our purpose is to extend some results known in the literature for ordinary difference (single) to difference double sequences of real numbers.Quite recently, Esi [1] defined the statistical analogue for double difference sequences x = (xk,l) as follows: A real double sequence x = (xk,l) is said to be P-statistically ∆− convergent to L provided that for each ε > 0 P − lim m,n 1 mn ...

متن کامل

On Ideal Version of Lacunary Statistical Convergence of Double Sequences

For any double lacunary sequence θrs = {(kr, ls)} and an admissible ideal I2 ⊆ P(N×N), the aim of present work is to define the concepts of Nθrs(I2)− and Sθrs(I2)−convergence for double sequence of numbers. We also present some inclusion relations between these notions and prove that Sθrs(I2)∩`∞ and S2(I2)∩ `∞ are closed subsets of `∞, the space of all bounded double sequences of numbers.

متن کامل

On Asymptotically Wijsman Lacunary Σ-statistical Convergence of Set Sequences

In this paper we presents three definitions which is a natural combination of the definition of asymptotic equivalence, statistical convergence, lacunary statistical convergence, σ-statistical convergence and Wijsman convergence. In addition, we also present asymptotically equivalent sequences of sets in sense of Wijsman and study some properties of this concept.

متن کامل

Point equivalence of second-order ODEs: Maximal invariant classification order

We show that the local equivalence problem of second-order ordinary differential equations under point transformations is completely characterized by differential invariants of order at most 10 and that this upper bound is sharp. We also demonstrate that, modulo Cartan duality and point transformations, the Painlevé–I equation can be characterized as the simplest second-order ordinary different...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Ad?yaman üniversitesi fen bilimleri dergisi

سال: 2021

ISSN: ['2146-586X', '2147-1630']

DOI: https://doi.org/10.37094/adyujsci.956986