On the multiparameterized fractional multiplicative integral inequalities

• Published in: Journal of inequalities and applications Vol. 2024; no. 1; pp. 52 - 27
• Main Authors: Almatrafi, Mohammed Bakheet, Saleh, Wedad, Lakhdari, Abdelghani, Jarad, Fahd, Meftah, Badreddine
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 08.04.2024; Springer Nature B.V; SpringerOpen
• Subjects: Analysis; Applications of Mathematics; Calculus; Convex analysis; Fractional multiplicative integral; Inequalities; Integral inequalities; Integrals; Mathematical functions; Mathematics; Mathematics and Statistics; Multiparameterized identity; Multiplicative s-convexity; Quadratures; Real numbers; Visual aids; Multiparameterized identity; Multiplicative; 26A51; 26D10; 26A33; Fractional multiplicative integral; Integral inequalities; convexity; 26D15
• ISSN: 1029-242X; 1025-5834; 1029-242X
• DOI: 10.1186/s13660-024-03127-z

We introduce a novel multiparameterized fractional multiplicative integral identity and utilize it to derive a range of inequalities for multiplicatively s -convex mappings in connection with different quadrature rules involving one, two, and three points. Our results cover both new findings and established ones, offering a holistic framework for comprehending these inequalities. To validate our outcomes, we provide an illustrative example with visual aids. Furthermore, we highlight the practical significance of our discoveries by applying them to special means of real numbers within the realm of multiplicative calculus.