Results 21 to 30 of about 117 (103)
Functional equations in paranormed spaces [PDF]
Advances in Difference Equations, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Park, Choonkil, Shin, Dong
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Paranorm I-convergent sequence spaces
Mathematica Slovaca, 2009 Abstract In this article we introduced the sequence spaces c I(p), c 0I(p), m I(p) and m 0I(p) for p = (p k), a sequence of positive real numbers. We study some algebraic and topological properties of these spaces.
Tripathy, Binod Chandra, Hazarika, Bipan
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On the paranormed binomial sequence spaces
Universal Journal of Mathematics and Applications, 2018 In this paper the sequence spaces $b_0^{r,s}(p)$, $b_c^{r,s}(p)$, $b_{\infty}^{r,s}(p)$ and $b^{r,s}(p)$ which are the generalization of the classical Maddox's paranormed sequence spaces have been introduced and proved that the spaces $b_0^{r,s}(p)$, $b_c^{r,s}(p)$, $b_{\infty}^{r,s}(p)$ and $b^{r,s}(p)$ are linearly isomorphic to spaces $c_0(p)$, $c(p)
Bilgin Ellidokuzoğlu, Hacer +2 more
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On deferred Cesàro mean in Paranormed space [PDF]
, 2020 The aim of the present study is to introduce the concepts of deferred statistically convergence, deferred statistical Cauchy sequence and deferred Cesàro summability in paranormed spaces. We investigate some properties of these concepts and some inclusion relations with examples.
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On certain generalized paranormed spaces [PDF]
Journal of Inequalities and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Raj, Kuldip, Kılıçman, Adem
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Paranormal operators on Banach spaces [PDF]
Bulletin of the Australian Mathematical Society, 1980 In this note we show that a paranormal operator T on a Banach space satisfies Weyl's theorem. This is accomplished by showing that(i) every isolated point of its spectrum is an eigenvalue and the corresponding eigenspace has invariant complement,(ii) for α ≠ 0, Ker(T-α) ⊥ Ker (T-β) (in the sense of Birkhoff) whenever β ≠ α.
Chourasia, N. N., Ramanujan, P. B.
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Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018 We first define the notion of lacunary statistical convergence of order (α, β), and taking this notion into consideration, we introduce some seminormed difference sequence spaces over n‐normed spaces with the help of Musielak‐Orlicz function M=(Mk) of order (α, β).
S. A. Mohiuddine +3 more
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Some Generalized Difference Sequence Spaces Defined by a Sequence of Moduli in n‐Normed Spaces
Journal of Function Spaces, Volume 2015, Issue 1, 2015., 2015 We introduce some new generalized difference sequence spaces by means of ideal convergence, infinite matrix, and a sequence of modulus functions over n‐normed spaces. We also make an effort to study several properties relevant to topological, algebraic, and inclusion relations between these spaces.
Abdullah Alotaibi +3 more
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On the Classical Paranormed Sequence Spaces and Related Duals over the Non‐Newtonian Complex Field
Journal of Function Spaces, Volume 2015, Issue 1, 2015., 2015 The studies on sequence spaces were extended by using the notion of associated multiplier sequences. A multiplier sequence can be used to accelerate the convergence of the sequences in some spaces. In some sense, it can be viewed as a catalyst, which is used to accelerate the process of chemical reaction.
Uğur Kadak +3 more
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Stability of a quintic functional equation in matrix paranormed spaces
上海师范大学学报. 自然科学版, 2019 The main goal of this paper is to prove the Hyers-Ulam stability of the quintic functional equation f(3x + y) -5f(2x + y) + f(2x -y) + 10f(x + y) -5f(x -y)=10f(y) + f(3x)-3f(2x) -27f(x) in matrix paranormed spaces.
WANG Zhihua
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