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Now showing items 1-10 of 19

#### A variation on Abel quasi Cauchy sequences

(AMER INST PHYSICS, 2015)

In this paper, we introduce and investigate the concept of Abel ward continuity. A real function f is Abel ward continuous if it preserves Abel quasi Cauchy sequences, where a sequence (P-k) of point in R is called Abel ...

#### 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 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 ...

#### A variation on Abel statistical ward continuity

(AMER INST PHYSICS, 2015)

A real valued function f defined on a subset of R, the set of real numbers is called Abel statistically ward continuous if it preserves Abel statistical quasi Cauchy sequences, where a sequence (alpha(k)) of point in R is ...

#### 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 ...

#### 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 ...

#### On variations on quasi Cauchy sequences in metric spaces

(AMER INST PHYSICS, 2019)

For a fixed positive integer p. a sequence (x(n)) in a metric space X is called p-quasi-Cauchy if (Delta(p)x(n)) is a null sequence where Delta(p)x(n) = d(x(n+p), x(n)) for each positive integer n. A subset E of X is called ...