Results 11 to 20 of about 201,758 (300)
Modular topologies on vector spaces [PDF]
This paper addresses the topological structures induced on vector spaces by convex modulars that do not satisfy the $Δ_2$ condition, with particular focus on their applications to variable exponent spaces such as \( \ell^{(p_n)} \) and \( L^{p(\cdot)} \).
Mohamed A. Khamsi +2 more
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Modular Locally Constant Mappings in Vector Ultrametric Spaces [PDF]
Abstract and Applied Analysis, 2011 We give some sufficient conditions for mappings defined on vector ultrametric spaces to be modular locally constant.
Kamal Fallahi, Kourosh Nourouzi
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Fixed point theorems in modular vector spaces
The Journal of Nonlinear Sciences and Applications, 2017 Summary: In this work, we initiate the metric fixed point theory in modular vector spaces under Nakano formulation. In particular, we establish an analogue to Banach contraction principle, Browder and Göhde fixed point theorems for nonexpansive mappings in the modular sense.
Afrah A. N. Abdou, Mohamed A. Khamsi
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On some vector valued generalized difference modular sequence spaces
Filomat, 2011 In this paper we generalize the modular sequence space ?{Mk} by introducing the sequence space ?{Mk,p,q,s,?n/vm}. We give various properties relevant to algebraic and topological structures of this space and derived some other spaces.
Vatan Karakaya, Hemen Dutta
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Modular network SOM (mnSOM): from vector space to function space
Proceedings. 2005 IEEE International Joint Conference on Neural Networks, 2005., 2006 Kohonen's self-organizing map (SOM), which performs topology-preserving transformation from a high dimensional data vector space to a low-dimensional map space, provides a powerful tool for data analysis, classification and visualization in many application fields. Despite its power, SOM can only deal with vectorized data, although many expansions have
Tetsuo Furukawa +3 more
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On Some Modular Köthe Vector Valued Sequence Space using φ-Function
Journal of Physics: Conference Series, 2020 Abstract In this paper, we introduce some new modular vector valued sequence spaces defined by φ-function and give some basic result of this space.
Evalina Herawati, N. Irsyad
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A Complex Structure for Two-Typed Tangent Spaces [PDF]
EntropyThis study concerns Riemannian manifolds with two types of tangent vectors. Let it be given that there are two subspaces of a tangent space with the property that each tangent vector has a unique decomposition as the sum of a vector in one subspace and a
Jan Naudts
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On vector spaces of certain modular forms of given weights [PDF]
Bulletin of the Australian Mathematical Society, 1977 Let p be a rational prime and Qp be the field of p–adic numbers. Jean-Pierre Serre [Lecture Notes in Mathematics, 350, 191–268 (1973)] had defined p–adic modular forms as the limits of sequences of modular forms over the modular group SL2(Z). He proved that with each non-zero p–adic modular form there is associated a unique element called its weight k.
Amita Aggarwal, Manoj K. Agrawal
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IEEE AccessIn various variable speed applications with power converters, failures in the bearings caused by common mode voltage (CMV) have been frequently reported. This study investigates space vector modulation (SVM)-based strategies for reducing CMV in a modular
Chengjun Tang +2 more
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Control of Modular Multilevel Converters Using an Overlapping Multihexagon Space Vector Modulation Scheme [PDF]
IEEE Journal of Emerging and Selected Topics in Power Electronics, 2019 This paper introduces a novel space vector modulation scheme that can be applied for the control of modular multilevel cascaded converters (MMCCs) with any number of levels. This is achieved by using basic two-level or three-level hexagons to determine the switch states and the duty cycles separately within one tier of the converter which is a cascade ...
Oghenewvogaga James Komoda Oghorada +3 more
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