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Now showing items 1-10 of 17

#### Beyond the quasi-Cauchy sequences beyond the Cauchy sequences

(American Institute of Physics Inc., 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 ...

#### 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 ...

#### A variation on strong lacunary quasi-Cauchy sequences in 2-normed spaces

(American Institute of Physics Inc., 2015)

In this paper, we introduce and investigate ideal strong lacunary ward continuity in 2-normed spaces. A function f on a subset A of a 2-normed space X into X is ideal strongly lacunary ward continuous if it preserves ideal ...

#### 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 ...

#### 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 ...

#### 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 ...

#### On Wijsman (f, I) -Lacunary Statistical Convergence of Order alpha

(AMER INST PHYSICS, 2019)

In this paper we introduce the concepts of Wijsman (f, I) -lacunary statistical convergence of order alpha and Wijsman strongly (f, I) -lacunary statistical convergence of order alpha, and investigated between their relationship.

#### Variations on rho statistical quasi cauchy sequences

(AMER INST PHYSICS, 2019)

A sequence (alpha(k)) of points in R, the set of real numbers, is called rho-statistically p quasi Cauchy if lim(n ->infinity )1/rho(n) vertical bar{k <= n : vertical bar Delta(p)alpha(k)vertical bar >= epsilon}vertical ...

#### A Variation on Absolutely Almost Convergence

(AMER INST PHYSICS, 2018)

In this paper, we give a generalization of absolutely almost convergence, and prove interesting results.

#### 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 ...