Some new results on sequence spaces with respect to non-Newtonian calculus
نویسندگان
چکیده
منابع مشابه
SOME FUNDAMENTAL RESULTS ON FUZZY CALCULUS
In this paper, we study fuzzy calculus in two main branches differential and integral. Some rules for finding limit and $gH$-derivative of $gH$-difference, constant multiple of two fuzzy-valued functions are obtained and we also present fuzzy chain rule for calculating $gH$-derivative of a composite function. Two techniques namely, Leibniz's rule and integration by parts are introduced for ...
متن کاملSOME NEW RESULTS ON REMOTEST POINTS IN NORMED SPACES
In this paper, using the best proximity theorems for an extensionof Brosowski's theorem. We obtain other results on farthest points. Finally, wedene the concept of e- farthest points. We shall prove interesting relationshipbetween the -best approximation and the e-farthest points in normed linearspaces (X; ||.||). If z in W is a e-farthest point from an x in X, then z is also a-best approximati...
متن کاملON SOME NEW SEQUENCE SPACES OF NON-ABSOLUTE TYPE RELATED TO THE SPACES `p AND `∞ I
In the present paper, we introduce the sequence space `p of non-absolute type and prove that the spaces `p and `p are linearly isomorphic for 0 < p ≤ ∞. Further, we show that `p is a p-normed space and a BK-space in the cases of 0 < p < 1 and 1 ≤ p ≤ ∞, respectively. Furthermore, we derive some inclusion relations concerning the space `p . Finally, we construct the basis for the space `p , wher...
متن کاملOn some new sequence spaces of non - absolute type related to the spaces ` p and ` ∞ II
In the present paper, which is a natural continuation of the work done in [13], we determine the α-, βand γ-duals of the sequence spaces `p and ` λ ∞ of non-absolute type, where 1 ≤ p < ∞. Further, we characterize some related matrix classes and deduce the characterizations of some other classes by means of a given basic lemma. AMS subject classifications: 40C05, 40H05, 46A45
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2012
ISSN: 1029-242X
DOI: 10.1186/1029-242x-2012-228