Results 11 to 20 of about 83,742 (251)
Modular Uniform Convexity in Every Direction in Lp(·) and Its Applications
We prove that the Lebesgue space of variable exponent L p ( · ) ( Ω ) is modularly uniformly convex in every direction provided the exponent p is finite a.e. and different from 1 a.e.
Mostafa Bachar, Osvaldo Méndez
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Computing well-covered vector spaces of graphs using modular decomposition
AbstractA graph is well-covered if all its maximal independent sets have the same cardinality. This concept was introduced by Plummer in 1970 and naturally generalizes to the weighted case. Given a graph G, a real-valued vertex weight function w is said to be a well-covered weighting of G if all its maximal independent sets are of the same weight with ...
Martin Milanič, Nevena Pivač
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Fixed Points of Kannan Maps in the Variable Exponent Sequence Spaces ℓp(·)
Kannan maps have inspired a branch of metric fixed point theory devoted to the extension of the classical Banach contraction principle. The study of these maps in modular vector spaces was attempted timidly and was not successful.
Afrah A. N. Abdou +1 more
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Space vector modulation method for modular multilevel converters [PDF]
This paper presents a generalized space vector modulation (SVM) method for any modular multilevel converter (MMC). The proposed SVM method produces the maximum level number (i.e., 2«+l, where n is the number of submodules in the upper or lower arm of each phase) of the output phase voltages and a higher equivalent switching frequency than other ...
Yi Deng +3 more
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On common fixed points in modular vector spaces [PDF]
AbstractIn this work, we discuss the concept of Banach operator pairs in modular vector spaces. We prove the existence of common fixed points for these type of operators which satisfy a modular continuity in modular compact sets. On the basis of our result, we are able to give an analog of DeMarr’s common fixed point theorem for a family of symmetric ...
Abdou, Afrah AN, Khamsi, Mohamed A
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Modular space‐vector pulse‐width modulation for nine‐switch converters [PDF]
Recently, nine‐switch inverter (NSI) has been presented as a dual‐output inverter with constant frequency (CF) or different frequency (DF) operation modes. However, the CF mode is more interesting because of its lower switching device rating. This study proposes a new space‐vector modulation (SVM) method for the NSI that supports both the CF and DF ...
Dehghan, Seyed Mohammad +3 more
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Computing Shor’s algorithmic steps with interference patterns of classical light
When considered as orthogonal bases in distinct vector spaces, the unit vectors of polarization directions and the Laguerre–Gaussian modes of polarization amplitude are inseparable, constituting a so-called classical entangled light beam.
Wei Wang +4 more
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Quasi-modular forms attached to elliptic curves, I [PDF]
In the present text we give a geometric interpretation of quasi-modular forms using moduli of elliptic curves with marked elements in their de Rham cohomologies.
Movasati, Hossein
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Ekeland Variational Principle in the Variable Exponent Sequence Spaces ℓp(·)
In this work , we investigate the modular version of the Ekeland variational principle (EVP) in the context of variable exponent sequence spaces ℓ p ( · ) . The core obstacle in the development of a modular version of the EVP is the failure
Monther R. Alfuraidan +1 more
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Fixed point theorems in modular vector spaces
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.
Abdou, Afrah A. N., Khamsi, Mohamed A.
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