Estimation of the parameterized integral inequalities involving generalized p-convex mappings on fractal sets and related applications. (August 2022)

• Record Type: Journal Article
• Authors: Cheng, Qingjin; Luo, Chunyan
• Is Part Of: Chaos, solitons and fractals. Volume 161(2022)
• Publication Date: 2022-08
• Subjects: 26A33 -- 26A51 -- 26D10 -- 26D15; Local fractional integrals -- Generalized p-convexity -- Ostrowski-type inequality; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2022.112371
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: In this article, the author establishes some new parameterized local fractional integral inequalities for mappings whose first local fractional derivatives in absolute values at some powers are generalized p -convex function. Furthermore, certain applications of main results for α -type special means, trapezoidal formula and cumulative distribution function are used to verify the computational effectiveness and relevance of the presented technique. Highlights: A new parameterized local fractional integral identity is established. Some Ostrowski-type integral inequalities for generalized p -convex functions are obtained. The applications of the main results are proposed.