Now showing items 1-20 of 58

• #### Abel statistical delta quasi Cauchy sequences ﻿

(AMER INST PHYSICS, 2019)
In this paper, we investigate the concept of Abel statistical delta quasi Cauchy sequences. A real function! is called Abel statistically delta ward continuous it preserves Abel statistical delta quasi Cauchy sequences, ...
• #### Abel Statistical Quasi Cauchy Sequences ﻿

(UNIV NIS, FAC SCI MATH, 2019)
In this paper, we investigate the concept of Abel statistical quasi Cauchy sequences. A real function f is called Abel statistically ward continuous if it preserves Abel statistical quasi Cauchy sequences, where a sequence ...
• #### AN APPROACH TO SOFT FUNCTIONS ﻿

In this paper, using a more appreciate definition of a soft point, i.e. a soft point is a soft set (F, E) such that for the element e is an element of E, F(e) = {x} and F(e ') = (empty set) for all e ' is an element of E ...
• #### Beyond Cauchy and Quasi-Cauchy Sequences ﻿

(UNIV NIS, FAC SCI MATH, 2018)
In this paper, we investigate the concepts of downward continuity and upward continuity. A real valued function on a subset E of R, the set of real numbers, is downward continuous if it preserves downward quasi-Cauchy ...
• #### Beyond the quasi-Cauchy sequences beyond the Cauchy sequences ﻿

(AMER INST PHYSICS, 2016)
In this paper, we investigate the concept of upward continuity. A real valued function on a subset E of R, the set of real numbers is upward continuous if it preserves upward quasi Cauchy sequences in E, where a sequence ...
• #### Cone normed spaces and weighted means ﻿

(PERGAMON-ELSEVIER SCIENCE LTD, 2010)
In this paper, we study the main properties of cone normed spaces, and prove some theorems of weighted means in cone normed spaces. (C) 2010 Elsevier Ltd. All rights reserved.
• #### delta-quasi-Cauchy sequences ﻿

(PERGAMON-ELSEVIER SCIENCE LTD, 2011)
Recently, it has been proved that a real-valued function defined on a subset E of A. the set of real numbers, is uniformly continuous on E if and only if it is defined on E and preserves quasi-Cauchy sequences of points ...
• #### Delta-quasi-slowly oscillating continuity ﻿

(ELSEVIER SCIENCE INC, 2010)
In this paper, a new concept of Delta-quasi-slowly oscillating continuity is introduced. Furthermore, it is shown that this kind of continuity implies ordinary continuity. A new type of compactness is also defined and some ...
• #### FORWARD CONTINUITY ﻿

(EUDOXUS PRESS, LLC, 2011)
A real function f is continuous if and only if (f(x(n))) is a convergent sequence whenever (x(n)) is convergent and a subset E of R is compact if any sequence x = (x(n)) of points in E has a convergent subsequence whose ...
• #### G-Connectedness in Topological Groups with Operations ﻿

(UNIV NIS, FAC SCI MATH, 2018)
It is a well known fact that for a Hausdorff topological group X, the limits of convergent sequences in X define a function denoted by lim from the set of all convergent sequences in X to X. This notion has been modified ...
• #### G-sequentially connectedness for topological groups with operations ﻿

(AMER INST PHYSICS, 2016)
It is a well-known fact that for a Hausdorff topological group X, the limits of convergent sequences in X define a function denoted by l i m from the set of all convergent sequences in X to X. This notion has been modified ...
• #### Ideal quasi-Cauchy sequences ﻿

(SPRINGER INTERNATIONAL PUBLISHING AG, 2012)
An ideal I is a family of subsets of positive integers N which is closed under taking finite unions and subsets of its elements. A sequence (x(n)) of real numbers is said to be I-convergent to a real number L if for each ...
• #### Ideal statistically quasi Cauchy sequences ﻿

(AMER INST PHYSICS, 2016)
An ideal I is a family of subsets of N, the set of positive integers which is closed under taking finite unions and subsets of its elements. A sequence (x(k)) of real numbers is said to be S(I)-statistically convergent to ...
• #### Lacunary statistical ward continuity ﻿

(AMER INST PHYSICS, 2015)
The main object of this paper is to investigate lacunary statistically ward continuity. We obtain some relations between this kind of continuity and some other kinds of continuities. It turns out that any lacunary statistically ...
• #### LACUNARY STATISTICALLY UPWARD AND DOWNWARD HALF QUASI-CAUCHY SEQUENCES ﻿

(UNIV PRISHTINES, 2016)
A real valued function defined on a subset E of R, the set of real numbers, is lacunary statistically upward continuous if it preserves lacunary statistically upward half quasi-Cauchy sequences where a sequence (x(k)) of ...
• #### Lacunary statistically upward half quasi-Cauchy sequences ﻿

(AMER INST PHYSICS, 2015)
A real valued function defined on a subset E of R, the set of real numbers, is lacunary statistically upward continuous if it preserves lacunary statistically upward half quasi -Cauchy sequences where a sequence (x,) of ...
• #### Lacunary Ward Continuity in 2-normed Spaces ﻿

(UNIV NIS, FAC SCI MATH, 2015)
In this paper, we introduce lacunary statistical ward continuity in a 2-normed space. A function f defined on a subset E of a 2-normed space X is lacunary statistically ward continuous if it preserves lacunary statistically ...
• #### N-alpha(beta)(theta, I)- Ward Continuity ﻿

(AMER INST PHYSICS, 2019)
The main purpose of this paper is to introduce the concept of strongly ideal lacunary quasi-Cauchyness of order (alpha, beta) of sequences of real numbers. Strongly ideal lacunary ward continuity of order (alpha, beta) is ...
• #### N-theta-Ward Continuity ﻿

(HINDAWI LTD, 2012)
A function f is continuous if and only if f preserves convergent sequences; that is, (f(alpha(n))) is a convergent sequence whenever (alpha(n)) is convergent. The concept of N-theta-ward continuity is defined in the sense ...
• #### New kinds of continuities ﻿

(PERGAMON-ELSEVIER SCIENCE LTD, 2011)
A sequence (x(n)) of points in a topological group is slowly oscillating if for any given neighborhood U of 0, there exist delta = delta(U) > 0 and N = N(U) such that x(m)-x(n) epsilon U if n >= N(U) and n <= m <= (1+delta)n. ...