[PDF] Top 20 Some normed binomial difference sequence spaces related to the \(\ell {p}\) spaces

... integers. Since then, many authors have studied further generalization of the difference sequence spaces [–]. Moreover, Altay and Polat [], Başarir and Kara [–], Kara [], Kara and İlkhan [], Polat ... See full document

... a normed linear space which was subsequently studied by many authors see, 6, ...summability, sequence spaces and related topics in these nonlinear spaces see, ... See full document

... The idea of statistical convergence was given by Zygmund [1] in the first edition of his monograph published in Warsaw in 1935. The concept of statistical convergence was introduced by Fast [2] and Schoenberg [3]. Over ... See full document

... The first stability problem concerning group homomorphisms was raised by Ulam [1] in 1940 and affirmatively solved by Hyers [2]. The result of Hyers was generalized by Aoki [3] for approximate additive mappings and by ... See full document

... the sequence of the Cesàro means is convergent, the series is said to be Cesàro ...the sequence of Cesàro means converges, but the original sequence does ...example, sequence {a n } = {(–) n ... See full document

... on some single se- quence spaces by using some special ...Recently some significant studies have been done by several mathematicians for double sequence spaces and ... See full document

... a normed linear space which was subsequently studied by many authors see, 3, ...summability, sequence spaces, and related topics in these nonlinear spaces see, ...define some ... See full document

... The concept of -normed space was initially introduced by Gähler [] in the mid of s, while that of n-normed spaces can be found in Misiak []. Since then, many others have used these concepts ... See full document

... () Since the sequence x = θ belongs to each of the sequence spaces, the overlapping part of the proof is obvious. For the other part of the proof, consider the sequence defined by (.) and ... See full document

... many authors have studied further generalization of the difference sequence spaces [–]. Moreover, Altay and Polat [], Başarir and Kara [–], Başarir, Kara and Konca [], Kara [], Kara and İlkhan [, ... See full document

... discussed some results obtained from the matrix domain of the binomial matrix and the difference matrix of fractional ...the sequence spaces defined in [11, 12, 18, 23, 25, ... See full document

... many authors have studied further generalization of the difference sequence spaces [–]. Moreover, Altay and Polat [], Başarir [], Başarir, Kara and Konca [], Başarir and Kara [–], Başarir, Öztürk ... See full document

... approximate Jensen mapping in PN-spaces and prove that if an approximate Jensen mapping in a ˇSerstnev PN-space is continuous at a point then we can approximate it by an everywhere continuous Jensen mapping. As a ... See full document

... By the Aoki-Rolewicz Theorem [54], each quasi-norm is equivalent to some p-norm (see also [7]) Since it is much easier to work with p-norms, henceforth we restrict our attention mainly to p-norms. Moreover in ... See full document

... invariant spaces [] or in optimal couples of rearrangement invari- ant spaces [–], and in the problems of optimal embeddings ...with some bounds of rearrangement in- variant quasi-normed ... See full document

... the spaces of double sequences for RH-regular four-dimensional matrices and Orlicz functions and also established some interesting re- ...studied some paranormed double difference sequence ... See full document

... 4. Concluding remark. We have shown that an n-normed space with n ≥ 2 is an (n − 1)-normed space and that, for the standard or finite-dimensional case, the (n − 1)-norm can be derived from the n-norm in such ... See full document

... Reddy, Some results on t-best approximation in fuzzy anti-normed linear ...Reddy, Some results on t-best approximation in fuzzy anti-2-normed linear ...fuzzy normed spaces, ... See full document

... On certain class of sequence spaces of invariant mean defined by Orlicz function... DIFFERENCE SEQUENCE SPACES OF INVARIANT MEAN DEFINED BY ORLICZ.[r] ... See full document

... The positive cone of a unital C ∗ -algebra is a exapmle of a generalized gyrovector space (cf [1]). As Proposition 2.4, it is an example of a normed gyrolinear space. Example 2.8. Let A be a unital C ∗ -algebra ... See full document