Normed linear spaces
On strong orthogonality and strictly convex normed linear spaces
... convex normed linear spaces by using the Hahn-Banach theorem and the notion of a strongly orthogonal Hamel basis rel- ative to an element in the sense of ...a normed space and that of an ...
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The Aleksandrov Problem in quasi convex 2-normed linear spaces
... Theorem 3.2. Let E and F be two quasi convex 2-normed linear spaces with dim E > 2. If f : E → F satisfies (DOPP) and preserves collinearity, then f is an affine generalized 2-isometry. Proof. We ...
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A Generalisation of the Pečarić-Rajić Inequality in Normed Linear Spaces
... DRAGOMIR, Another Gr¨ uss type inequality for sequences of vectors in normed linear spaces and applications.. DRAGOMIR, A Gr¨ uss type inequality for sequences of vectors in normed linea[r] ...
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A Grüss Type Inequality for Sequences of Vectors in Normed Linear Spaces and Applications
... A discrete inequality of Gr¨ uss type in normed linear spaces and applications for the discrete Fourier transform, Mellin transform of sequences, for polynomials with coefficients in nor[r] ...
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Rough $I$-statistical convergence of double sequences in normed linear spaces
... The notion of I-statistical convergence of a double sequence was first introduced by Belen et. al.[2] and the notion of rough convergence of a sequence was first introduced by Phu [19]. In this paper we introduce and ...
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Some results on 2-fuzzy n-normed linear spaces
... linear spaces. The authors gave the notion of α -n-norm on a linear space corresponding to the 2-fuzzy n-norme by using some ideas of Bag and Samanta ...of linear n-normed ...
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A contractive mappings on fuzzy normed linear spaces
... In this paper, we use the definition of fuzzy normed spaces given by Bag and Samanta and provide four types of fuzzy versions of contraction. We show that these mappings necessarily have unique fixed points ...
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Torricellian points in normed linear spaces
... case of normed linear spaces. The set of Torricellian points can be utilised to characterise strictly convex spaces and inner product spaces. In Martini et al. [], a generalisation in ...
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Inequalities for the p-Angular Distance in Normed Linear Spaces
... Abstract. New upper and lower bounds for the p-angular distance in normed linear spaces are given. Some of the obtained upper bounds are better than the corresponding results due to L. Maligranda ...
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The Aleksandrov-Rassias problem on quasi convex n-normed linear spaces
... on normed spaces. Chu et al., Park et al.[2-4] in linear n-normed spaces, defined the concept of an n-isometry that are suitable to represent the notion of a volumepreserving mapping, ...
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Product-Normed Linear Spaces
... the linear normed ...the normed linear space, to obtain the different normed linear spaces with their functional ...
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Bounding the Čebyšev Functional for Sequences of Vectors in Normed Linear Spaces
... Using H¨ older’s inequality, we deduce the desired result (3. The following corollary for the uniform distribution of the probability p holds.. 3) are sharp in the sense that the constan[r] ...
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Uniform Boundedness Principle on 2-Fuzzy Normed Linear Spaces
... a linear space has been introduced and developed by Gahler in ...fuzzy linear space in a different ...bounded linear operator and fuzzy bounded linear functional on the fuzzy dual ...
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Lacunary Statistical Convergence in Fuzzy Normed Linear Spaces
... In this study, we introduced the concept of lacunary statistical convergence with respect to a fuzzy norm. We also studied the relation between lacunary summabilty and lacunary convergence in fuzzy normed space. ...
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A Lower Bound for Continuous Convex Mappings on Normed Linear Spaces
... This result can also be viewed as an estimation theorem for the continuous convex mappings defined on a normed space in terms of semi-inner product ( .,... DRAGOMIR , A characterization [r] ...
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The Aleksandrov problem in quasi convex n-normed linear spaces
... for all x, y ∈ E, where d E (, ) and d F (, ) denote the metric in the space E and F, respectively. For some fixed number r > 0, suppose that f preserves distance r; ie, for all x, y ∈ E with d E (x, y) = r, we have d ...
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On Pečarić Rajić Dragomir Type Inequalities in Normed Linear Spaces
... Department of Information and Mathematics Sciences, College of Science, China Jiliang University, Hangzhou 310018, China 2 Department of Mathematics, Tunghai University, Taichung 40704, [r] ...
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On Some Discrete Inequalities in Normed Linear Spaces
... DRAGOMIR, Advances in Inequalities of the Schwarz, Triangle and Heisenberg Type in Inner Product Spaces, RGMIA Monographs, Victoria University, 2005. KHALEELULA, On Diaz-Metcalf’s comple[r] ...
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On Multi Normed Linear Spaces
... Abstract — In the present paper notions of multi linear space and multi normed linear space are presented and some basic properties of such spaces have been in[r] ...
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On Some Inequalities in Normed Linear Spaces
... Abstract. Upper and lower bounds for the norm of a linear combination of vectors are given. Applications in obtaining various inequalities for the quan- tities kx/ kxk − y/ kykk and kx/ kyk − y/ kxkk, where x and ...
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