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#### A Variation on Statistical Ward Continuity

(MALAYSIAN MATHEMATICAL SCIENCES SOC, 2017)

A sequence (alpha(k)) of points in R, the set of real numbers, is called rho-statistically convergent to an element l of R if lim (n ->infinity) 1/rho n |{k <= n : |alpha(k)-l| >= epsilon}| = 0 for each epsilon > 0, where ...

#### 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 ...

#### Statistical ward continuity

(PERGAMON-ELSEVIER SCIENCE LTD, 2011)

Recently, it has been proved that a real-valued function defined on an interval A of R, the set of real numbers, is uniformly continuous on A if and only if it is defined on A and preserves quasi-Cauchy sequences of points ...

#### 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 ...

#### 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 ...

#### Variations on strongly lacunary quasi Cauchy sequences

(AMER INST PHYSICS, 2016)

We introduce a new function space, namely the space of N-theta(p)-ward continuous functions, which turns out to be a closed subspace of the space of continuous functions for each positive integer p. N-theta(alpha)(p)-ward ...

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

(AMER INST PHYSICS, 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 ...

#### Variations on strong lacunary quasi-Cauchy sequences

(International Scientific Research Publications, 2016)

We introduce a new function space, namely the space of N??(p)-ward continuous functions, which turns out to be a closed subspace of the space of continuous functions. A real valued function f defined on a subset A of R, ...

#### Strongly lacunary delta ward continuity

(AMER INST PHYSICS, 2015)

In this paper, the concepts of a lacunary statistically delta-quasi-Cauchy sequence and a strongly lacunary delta-quasiCauchy sequence are introduced, and investigated. In this investigation, we proved interesting theorems ...