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Article

Integral Inequalities for Vector (Multi)functions

1
“Octav Mayer” Institute of Mathematics, Romanian Academy, Iaşi Branch, Bd. Carol I, No. 8, 700506 Iaşi, Romania
2
Faculty of Mathematics, “Alexandru Ioan Cuza” University, Bd. Carol I, No. 11, 700506 Iaşi, Romania
*
Author to whom correspondence should be addressed.
Axioms 2025, 14(12), 915; https://doi.org/10.3390/axioms14120915
Submission received: 15 August 2025 / Revised: 4 November 2025 / Accepted: 8 November 2025 / Published: 12 December 2025
(This article belongs to the Special Issue Theory and Application of Integral Inequalities, 2nd Edition)

Abstract

We present some integral inequalities such as Minkowski-type and optimal bound-type for vector functions and vector multifunctions for different kinds of integrals: G-integral, Choquet-type integral, and Sugeno-type integral.
Keywords: integral inequality; Minkowski-type inequality; optimal bound-type inequality; G-integral; Pettis integral; Sugeno integral; Aumann integral; Choquet integral; vector multisubmeasure; vector function; vector multifunction; monotone measure; fuzzy measure; fuzzy integral integral inequality; Minkowski-type inequality; optimal bound-type inequality; G-integral; Pettis integral; Sugeno integral; Aumann integral; Choquet integral; vector multisubmeasure; vector function; vector multifunction; monotone measure; fuzzy measure; fuzzy integral

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MDPI and ACS Style

Stamate, C.; Croitoru, A. Integral Inequalities for Vector (Multi)functions. Axioms 2025, 14, 915. https://doi.org/10.3390/axioms14120915

AMA Style

Stamate C, Croitoru A. Integral Inequalities for Vector (Multi)functions. Axioms. 2025; 14(12):915. https://doi.org/10.3390/axioms14120915

Chicago/Turabian Style

Stamate, Cristina, and Anca Croitoru. 2025. "Integral Inequalities for Vector (Multi)functions" Axioms 14, no. 12: 915. https://doi.org/10.3390/axioms14120915

APA Style

Stamate, C., & Croitoru, A. (2025). Integral Inequalities for Vector (Multi)functions. Axioms, 14(12), 915. https://doi.org/10.3390/axioms14120915

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