Jensen-type and Young’s convolution-type inequalities in variable exponent Sobolev spaces and their applications

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Jensen-type and Young’s convolution-type inequalities in variable exponent Sobolev spaces and their applications

Levis, Fabián Eduardo et al · Pergamon-Elsevier Science Ltd · 2026

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Autore / responsabile

Levis, Fabián Eduardo et al

Editore

Pergamon-Elsevier Science Ltd

Anno

2026

ISSN

0362-546X

ISSN

0362-546X

Lingua

Inglés

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The study of inequalities in mathematics is fundamental for understanding areas such as analysis, probability theory, and optimization. Notable inequalities include Jensen's and Young's convolution inequalities. Jensen's inequality links convexity with integration, while Young's convolution inequality is crucial in harmonic analysis and Sobolev spaces. In this paper, we present two inequalities in variable exponent Lebesgue spaces on R: a Jensen-type inequality and a Young's convolution-type inequality for the averaged Luxemburg norm involving mollifiers. These results lead to Taylor inequalities in variable exponent Sobolev spaces on R. Fil: Levis, Fabián Eduardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina. Universidad Nacional de Río Cuarto. Facultad de Ciencias Exactas, Físico-Químicas y Naturales. Departamento de Matemática; Argentina Fil: Kovac, Federico Dario. Universidad Nacional de La Pampa. Facultad de Ingeniería; Argentina

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APA 7

Levis, F. E. E. A. (2026). Jensen-type and Young’s convolution-type inequalities in variable exponent Sobolev spaces and their applications. https://nodovox.com/record.php?id=531273

MLA

Levis, Fabián Eduardo et al. "Jensen-type and Young’s convolution-type inequalities in variable exponent Sobolev spaces and their applications." 2026. https://nodovox.com/record.php?id=531273.

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Levis, Fabián Eduardo et al. 2026. "Jensen-type and Young’s convolution-type inequalities in variable exponent Sobolev spaces and their applications.". https://nodovox.com/record.php?id=531273.

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Levis, F. E. E. A. 2026, Jensen-type and Young’s convolution-type inequalities in variable exponent Sobolev spaces and their applications, Pergamon-Elsevier Science Ltd, available at: https://nodovox.com/record.php?id=531273 [Accessed 9 Aug. 2026].

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Titolo: Jensen-type and Young’s convolution-type inequalities in variable exponent Sobolev spaces and their applications

Autore / collaboratori: Levis, Fabián Eduardo et al

Editore: Pergamon-Elsevier Science Ltd

Anno di pubblicazione: 2026

ISSN: 0362-546X

ISSN: 0362-546X

Lingua: Inglés

Soggetti

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VARIABLE EXPONENT LEBESGUE SPACE; VARIABLE EXPONENT SOBOLEV SPACE; INEQUALITIES; TAYLOR'S POLYNOMIALS; https://purl.org/becyt/ford/1.1; https://purl.org/becyt/ford/1