ON LACUNARY ARITHMETIC STATISTICAL CONTINUITY FOR DOUBLE SEQUENCES
نویسندگان
چکیده
منابع مشابه
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 کاملOn 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 کاملOn asymptotically double lacunary statistical equivalent sequences in ideal context
*Correspondence: [email protected] 1Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh, Arunachal Pradesh 791112, India Full list of author information is available at the end of the article Abstract An ideal I is a family of subsets of positive integers N×N which is closed under taking finite unions and subsets of its elements. In this paper, we present some definitions w...
متن کاملOn asymptotically Δm lacunary statistical equivalent sequences
This paper presents the following definition which is a natural combination of the definition for asymptotically equivalent, statistically limit and lacunary sequences. Let θ be a lacunary sequence; the two nonnegative sequences x = (xk) and y = (yk) are said to be asymptotically ∆ m lacunary statistical(defined in [2]) equivalent of multiple L provided that for every > 0, lim r 1 hr { the numb...
متن کاملOn Lacunary Statistical Convergence of Double Sequences with Respect to the Intuitionistic Fuzzy Normed Space
In this paper, we study lacunary statistical convergence in intuition-istic fuzzy normed space. We also introduce here a new concept, that is, statistical completeness and show that IFNS is statistically complete but not complete.
متن کاملذخیره 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: International Journal of Research -GRANTHAALAYAH
سال: 2017
ISSN: 2350-0530,2394-3629
DOI: 10.29121/granthaalayah.v5.i11.2017.2321