Browsing by Author "Cakalli, Huseyin"
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Abel statistical delta quasi Cauchy sequences
Taylan, Iffet; Cakalli, Huseyin (AMER INST PHYSICS, 2019)In this paper, we investigate the concept of Abel statistical delta quasi Cauchy sequences. A real function! is called Abel statistically delta ward continuous it preserves Abel statistical delta quasi Cauchy sequences, ... 
Abel Statistical Quasi Cauchy Sequences
Cakalli, Huseyin (UNIV NIS, FAC SCI MATH, 2019)In this paper, we investigate the concept of Abel statistical quasi Cauchy sequences. A real function f is called Abel statistically ward continuous if it preserves Abel statistical quasi Cauchy sequences, where a sequence ... 
AN APPROACH TO SOFT FUNCTIONS
Aras, Cigdem Gunduz; Sonmez, Ayse; Cakalli, Huseyin (UNIV PRISHTINES, 2017)In this paper, using a more appreciate definition of a soft point, i.e. a soft point is a soft set (F, E) such that for the element e is an element of E, F(e) = {x} and F(e ') = (empty set) for all e ' is an element of E ... 
Beyond Cauchy and QuasiCauchy Sequences
Cakalli, Huseyin (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 quasiCauchy ... 
Beyond the quasiCauchy sequences beyond the Cauchy sequences
Cakalli, Huseyin (AMER INST PHYSICS, 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 ... 
Cone normed spaces and weighted means
Sonmez, Ayse; Cakalli, Huseyin (PERGAMONELSEVIER SCIENCE LTD, 2010)In this paper, we study the main properties of cone normed spaces, and prove some theorems of weighted means in cone normed spaces. (C) 2010 Elsevier Ltd. All rights reserved. 
deltaquasiCauchy sequences
Cakalli, Huseyin (PERGAMONELSEVIER SCIENCE LTD, 2011)Recently, it has been proved that a realvalued function defined on a subset E of A. the set of real numbers, is uniformly continuous on E if and only if it is defined on E and preserves quasiCauchy sequences of points ... 
Deltaquasislowly oscillating continuity
Cakalli, Huseyin; Canak, Ibrahim; Dik, Mehmet (ELSEVIER SCIENCE INC, 2010)In this paper, a new concept of Deltaquasislowly oscillating continuity is introduced. Furthermore, it is shown that this kind of continuity implies ordinary continuity. A new type of compactness is also defined and some ... 
FORWARD CONTINUITY
Cakalli, Huseyin (EUDOXUS PRESS, LLC, 2011)A real function f is continuous if and only if (f(x(n))) is a convergent sequence whenever (x(n)) is convergent and a subset E of R is compact if any sequence x = (x(n)) of points in E has a convergent subsequence whose ... 
GConnectedness in Topological Groups with Operations
Mucuk, Osman; Cakalli, Huseyin (UNIV NIS, FAC SCI MATH, 2018)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 lim from the set of all convergent sequences in X to X. This notion has been modified ... 
Gsequentially connectedness for topological groups with operations
Mucuk, Osman; Cakalli, Huseyin (AMER INST PHYSICS, 2016)It is a wellknown 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 ... 
Ideal quasiCauchy sequences
Cakalli, Huseyin; Hazarika, Bipan (SPRINGER INTERNATIONAL PUBLISHING AG, 2012)An ideal I is a family of subsets of positive integers N which is closed under taking finite unions and subsets of its elements. A sequence (x(n)) of real numbers is said to be Iconvergent to a real number L if for each ... 
Ideal statistically quasi Cauchy sequences
Savas, Ekrem; Cakalli, Huseyin (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 ... 
Lacunary statistical ward continuity
Cakalli, Huseyin; Aras, Cigdem Gunduz; Sonmez, Ayse (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 ... 
LACUNARY STATISTICALLY UPWARD AND DOWNWARD HALF QUASICAUCHY SEQUENCES
Cakalli, Huseyin; Mucuk, Osman (UNIV PRISHTINES, 2016)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 quasiCauchy sequences where a sequence (x(k)) of ... 
Lacunary statistically upward half quasiCauchy sequences
Cakalli, Huseyin; Mucuk, Osman (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 Ward Continuity in 2normed Spaces
Cakalli, Huseyin; Ersan, Sibel (UNIV NIS, FAC SCI MATH, 2015)In this paper, we introduce lacunary statistical ward continuity in a 2normed space. A function f defined on a subset E of a 2normed space X is lacunary statistically ward continuous if it preserves lacunary statistically ... 
Nalpha(beta)(theta, I) Ward Continuity
Sengul, Hacer; Cakalli, Huseyin; Et, Mikail (AMER INST PHYSICS, 2019)The main purpose of this paper is to introduce the concept of strongly ideal lacunary quasiCauchyness of order (alpha, beta) of sequences of real numbers. Strongly ideal lacunary ward continuity of order (alpha, beta) is ... 
NthetaWard Continuity
Cakalli, Huseyin (HINDAWI LTD, 2012)A function f is continuous if and only if f preserves convergent sequences; that is, (f(alpha(n))) is a convergent sequence whenever (alpha(n)) is convergent. The concept of Nthetaward continuity is defined in the sense ... 
New kinds of continuities
Cakalli, Huseyin (PERGAMONELSEVIER SCIENCE LTD, 2011)A sequence (x(n)) of points in a topological group is slowly oscillating if for any given neighborhood U of 0, there exist delta = delta(U) > 0 and N = N(U) such that x(m)x(n) epsilon U if n >= N(U) and n <= m <= (1+delta)n. ...