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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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Author / responsible party
Levis, Fabián Eduardo et al
Publisher
Pergamon-Elsevier Science Ltd
Year
2026
ISSN
0362-546X
ISSN
0362-546X
Language
English

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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. http://hdl.handle.net/11336/286343

MLA

Levis, Fabián Eduardo et al. "Jensen-type and Young’s convolution-type inequalities in variable exponent Sobolev spaces and their applications." 2026. http://hdl.handle.net/11336/286343.

Chicago

Levis, Fabián Eduardo et al. 2026. "Jensen-type and Young’s convolution-type inequalities in variable exponent Sobolev spaces and their applications.". http://hdl.handle.net/11336/286343.

Harvard

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: http://hdl.handle.net/11336/286343 [Accessed 7 Aug. 2026].

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Title
Jensen-type and Young’s convolution-type inequalities in variable exponent Sobolev spaces and their applications
Author / contributors
Levis, Fabián Eduardo et al
Publisher
Pergamon-Elsevier Science Ltd
Publication year
2026
ISSN
0362-546X
ISSN
0362-546X
Language
English

Subjects

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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
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