On new Milne-type inequalities and applications

Inequalities play a major role in pure and applied mathematics. In particular, the inequality plays an important role in the study of Rosseland’s integral for the stellar absorption. In this paper we obtain new Milne-type inequalities, and we apply them to the generalized Riemann–Liouville-type inte...

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Published inJournal of inequalities and applications Vol. 2023; no. 1; pp. 3 - 18
Main Authors Bosch, Paul, Rodríguez, José M., Sigarreta, José M.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 05.01.2023
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Applied mathematics
Fractional derivatives and integrals
Fractional integral inequalities
Inequalities
Integrals
Mathematical functions
Mathematical problems
Mathematics
Mathematics and Statistics
Milne-type inequalities
Operators (mathematics)
Milne-type inequalities
Fractional integral inequalities
26A51
Fractional derivatives and integrals
26D15
26A33
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Summary:Inequalities play a major role in pure and applied mathematics. In particular, the inequality plays an important role in the study of Rosseland’s integral for the stellar absorption. In this paper we obtain new Milne-type inequalities, and we apply them to the generalized Riemann–Liouville-type integral operators, which include most of the known Riemann–Liouville integral operators.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-022-02910-0