Now showing items 1-16 of 16

• #### Asymptotically ... equivalence of double sequences defined by modulus functions ﻿

Throughout the paper N denotes the set of all positive integers and R the set of all real numbers. The concept of convergence of a sequence of real numbers has been extended to statistical convergence independently by Fast ...
• #### Asymptotically ... equivalence of double sequences of sets defined by modulus functions ﻿

Fast (1951) and Schoenberg (1959), independently, introduced the concept of statistical convergence and many authors studied this concept. Mursaleen and Edely (2003) extended this concept to the double sequences. The idea ...
• #### Asymptotically ... statistical equivalence of double sequences of sets defined by modulus functions ﻿

(III. International Congress on Science and Education, 2019)
Statistical convergence and ideal convergence of real numbers, which are of great importance in the theory of summability, are studied by many mathematicians. Fast (1951) and Schoenberg (1959), independently, introduced ...
• #### Asymptotically I-invariant equivalence of sequences defined by a modulus function ﻿

In this paper, we introduce the concepts of strongly asymptotically ideal invariant equivalence, f-asymptotically ideal invariant equivalence, strongly f-asymptotically ideal invariant equivalence and asymptotically ideal ...
• #### Asymptotically I-Invariant statistical equivalence of sequences of set defined by a modulus function ﻿

In this paper, we introduce the concepts of strongly asymptotically I-invariant equivalence, f-asymptotically I-invariant equivalence, strongly f-asymptotically I-invariant equivalence and asymptotically I-invariant ...
• #### Asymptotically lacunary ... equivalence for double set sequences defined by modulus functions ﻿

Fast (1951) and Schoenberg (1959), independently, introduced concept of statistical convergence and many authors studied some properties of this concepts. Mursaleen and Edely (2003) extended this concept to the double ...
• #### Asymptotically lacunary ... statistical equivalence for double set sequences defined by modulus functions ﻿

(lnternational Congress on Science and Education, 2019)
Son zamanlarda reel sayıların istatistiksel yakınsaklık kavramı ideal yakınsaklık kavramına genişletilerek birçok matematikçi tarafından çalışılmıştır. Fast (1951) ve Schoenberg (1959) istatistiksel yakınsaklık kavramını ...
• #### Asymptotically lacunary I-invariant equivalence of sequences defined by A modulus function ﻿

In this paper, we introduce the concepts of strongly asymptotically lacunary ideal in- variant equivalence, f-asymptotically lacunary ideal invariant equivalence, strongly f-asymptotically lacunary ideal invariant ...
• #### Asymptotically Lacunary I-Invariant statistical equivalence of sequences of sets defined by A modulus function ﻿

We investigate the notions of strongly asymptotically I-equivalence, f-asymptotically I-equivalence, strongly f-asymptotically I-equivalence and asymptotically I-statistical equivalence for sequences of sets. Also, ...
• #### Asymptotically lacunary I-invariant statistical equivalence of sequences of sets defined by a modulus function ﻿

In this paper, we introduce the concepts of strongly asymptotically lacunary I-invariant equivalence, f-asymptotically lacunary I-invariant equivalence, strongly f-asymptotically lacunary I-invariant equivalence and ...
• #### f-Asymptotically J2 σ -equivalence of double sequences of sets ﻿

In this study, first, we present the concepts of strongly asymptotically ℐ2 σ -equivalence, f-asymptotically ℐ2 σ -equivalence, strongly f-asymptotically ℐ2 σ -equivalence for double sequences of sets. Then, we investigated ...
• #### Four dimensional logarithmic transformation into L_u ﻿

The aim of this paper is study four dimensional Abel matrices as L_u - L_u matrices
• #### Küme dizilerinin modülüs foksiyonu yardımıyla tanımlanan asimptotik I-Invaryant istatistiksel denkliği ﻿

(Afyon Kocatepe Üniversitesi, Fen ve Mühendislik Bilimleri Dergisi, 2018)
Bu çalışmada küme dizileri için kuvvetli asimptotik ℐ -invaryant denklik, f-asimptotik ℐ - invaryant denklik, kuvvetli f-asimptotik ℐ -invaryant denklik ve asimptotik ℐ -invaryant istatistiksel denklik tanımları verildi. ...
• #### Linear functionals connected with strong double cesaro summability ﻿

D. Borwein characterized linear functionals on the normed linear spaces wp and Wp. In this paper we extend his results by presenting definitions for the double strong Cesaro mean. Using these new notions of strongly ...
• #### Wijsman I-invariant convergence of sequences of sets ﻿

(Bulletin of Mathematical Analysis and Applications, 2019)
In this paper, we study the concepts of Wijsman I-invariant convergence (I^W_σ ), Wijsman I*-invariant convergence (I*^Wσ ), Wijsman p-strongly invariant convergence ([W Vσ]p) of sequences of sets and investigate the ...
• #### Wijsman regularly ideal convergence of double sequences of sets ﻿

(Journal of Intelligent Fuzzy Systems, 2019)
In this paper, we introduce the notions of regularly (IW2,IW) -convergence, regularly (IW2*,IW*) -convergence, regularly (IW2,IW) -Cauchy and regularly (IW2*,IW*) -Cauchy double sequence of sets and investigate the ...