On some Simpson's and Newton's type of inequalities in multiplicative calculus with applications

• DOI: 10.3934/math.2023193
• Publication Date: 2022-11-29T12:58:03Z
• Authors: Saowaluck Chasree...; Muhammad Aamir Ali; Surapol Naowarat; Thanin Sitthiwira...; Kamsing Nonlaopon
• Keywords: convex functions; simpson's inequalities; Multiplicative function; Evolutionary biology; Matrix Inequalities and Geometric Means; Mathematical analysis; 01 natural sciences; Differentiable function; QA1-939; FOS: Mathematics; 0101 mathematics; Biology; Anomalous Diffusion Modeling and Analysis; multiplicative calculus; Ecology; Applied Mathematics; FOS: Clinical medicine; Matrix Inequalities; Pure mathematics; Stability of Functional Equations in Mathematical Analysis; Applied mathematics; Inequality; Function (biology); Modeling and Simulation; FOS: Biological sciences; Dentistry; Physical Sciences; Medicine; Calculus (dental); Type (biology); Mathematics; newton's inequalities

<abstract><p>In this paper, we establish an integral equality involving a multiplicative differentiable function for the integral. Then, use newly established to prove some new Simpson's and Newton's inequalities functions. Finally, give mathematical examples show validation of inequalities.</p></abstract>