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Now showing items 1-10 of 21

#### 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 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) ...

#### 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 ...

#### 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 ...

#### On downward half Cauchy sequences

(Elsevier B.V., 2018)

In this paper, we introduce and investigate the concepts of down continuity and down compactness. A real valued function f on a subset E of R, the set of real numbers is down continuous if it preserves downward half Cauchy ...

#### On lambda Statistical Upward Compactness and Continuity

(UNIV NIS, FAC SCI MATH, 2018)

A sequence (alpha(k)) of real numbers is called lambda-statistically upward quasi-Cauchy if for every epsilon > 0 lim(n ->infinity)1/lambda(n)vertical bar{K is an element of I-n : alpha(k) - alpha(k+1) >= epsilon}vertical ...

#### A VARIATION ON LACUNARY STATISTICAL QUASI CAUCHY SEQUENCES

(ANKARA UNIV, FAC SCI, 2017)

In this paper, the concept of a lacunary statistically delta-quasi-Cauchy sequence is investigated. In this investigation, we proved interesting theorems related to lacunary statistically delta-ward continuity, and some ...

#### A VARIATION ON STRONGLY LACUNARY WARD CONTINUITY

(UNIV PRISHTINES, 2016)

In this paper, the concept of a strongly lacunary delta-quasi-Cauchy sequence is investigated. A real valued function f defined on a subset A of R, the set of real numbers, is called strongly lacunary delta ward continuous ...

#### 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 ...

#### Upward and Downward Statistical Continuities

(UNIV NIS, FAC SCI MATH, 2015)

A real valued function f defined on a subset E of R, the set of real numbers, is statistically upward (resp. downward) continuous if it preserves statistically upward (resp. downward) half quasi-Cauchy sequences; A subset ...