The aim of the present work is to introduce the concept of $lambda _{r}$-almost convergence of sequences. We define the spaces $fleft( lambda _{r}right) $ and $f_{0}left( lambda _{r}right) $ of $ lambda _{r}$-almost convergent and $lambda _{r}$-almost null sequences. We investigate some inclusion relations concerning those spaces with examples and we determine the $beta $- and $gamma $-duals of...

For a tournament T , let ν3(T ) denote the maximum number of pairwise arc-disjoint triangles in T . Let ν3(n) denote the minimum of ν3(T ) ranging over all regular tournaments with n vertices (n odd). It is conjectured that ν3(n) = (1 + on(1))n /9 and proved that n 11.43 (1− on(1)) ≤ ν3(n) ≤ n 9 (1 + on(1)) improving upon the best known upper bound and lower bound. The result is generalized to ...

in this paper, we introduce and study the concept of $r$-fuzzy regular semi open (closed) sets in smooth topological spaces. by using $r$-fuzzy regular semi open (closed) sets, we define a new fuzzy closure operator namely $r$-fuzzy regular semi interior (closure) operator. also, we introduce fuzzy regular semi continuous and fuzzy regular semi irresolute mappings. moreover, we investigate the ...

Recent developments in defining and training statistical classifiers make it possible to build reliable classifiers in very small sample size problems. Using these techniques advanced problems may be tackled, such as pixel based image recognition and dissimilarity based object classification. It will be explained and illustrated how recognition systems based on support vector machines and subsp...

In this paper our focus is to study certain covering properties in topological spaces by using semi-open covers. A part of this article deals with Rothberger-type covering properties. The notions of s-Rothberger, almost s-Rothberger, star s-Rothberger, almost star s-Rothberger, strongly star s-Rothberger spaces are defined and corresponding properties are investigated.