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Now showing items 1-10 of 58

#### 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 ...

#### Ward Continuity in 2-Normed Spaces

(UNIV NIS, FAC SCI MATH, 2015)

In this paper, we introduce and investigate the concept of ward continuity in 2-normed spaces. A function f defined on a 2-normed space (X, parallel to., .parallel to) is ward continuous if it preserves quasi-Cauchy ...

#### 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 ...

#### New Type Continuities via Abel Convergence

(HINDAWI LTD, 2014)

We investigate the concept of Abel continuity. A function f defined on a subset of R, the set of real numbers, is Abel continuous if it preserves Abel convergent sequences. Some other types of continuities are also studied ...

#### New results in quasi cone metric spaces

(JOURNAL MATHEMATICS & COMPUTER SCIENCE-JMCS, 2016)

In this paper, we prove some interesting results using forward and backward convergence in quasi cone metric spaces. We study forward and backward sequential compactness, sequential countably compactness, and sequential ...

#### On G-continuity

(PERGAMON-ELSEVIER SCIENCE LTD, 2011)

A function f on a topological space is sequentially continuous at a point u if, given a sequence (x(n)), lim x(n) = u implies that lim f (x(n)) f (u). This definition was modified by Connor and Grosse-Erdmann for real ...

#### A NEW TYPE CONTINUITY FOR REAL FUNCTIONS

(UNIV PRISHTINES, 2016)

A real valued function f de fined on a subset of R is delta(2)-ward continuous if lim(n ->infinity) Delta(3)f(x(n)) = 0 whenever lim(n ->infinity) Delta(3)x(n) = 0, where Delta(3) z(n) = z(n+3) - 3z(n+2) + 3z(n+1) - z(n) ...

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

(INT SCIENTIFIC RESEARCH PUBLICATIONS, 2016)

We introduce a new function space, namely the space of N-theta(alpha)(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 ...

#### 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 ...