{"product_id":"fractional-hermite-hadamard-inequalities-9783110522204","title":"Fractional Hermite-Hadamard Inequalities","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis book extends classical Hermite-Hadamard type inequalities to the fractional case via establishing fractional integral identities, and discusses Riemann-Liouville and Hadamard integrals, respectively, by various convex functions. Illustrating theoretical results via applications in special means of real numbers, it is an essential reference for applied mathematicians and engineers working with fractional calculus. \u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e\u003cstrong\u003eContents\u003cbr\u003e\u003c\/strong\u003eIntroduction\u003cbr\u003ePreliminaries\u003cbr\u003eFractional integral identities\u003cbr\u003eHermite-Hadamard inequalities involving Riemann-Liouville fractional integrals\u003cbr\u003eHermite-Hadamard inequalities involving Hadamard fractional integrals \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eTable of Content:\u003cbr\u003eChapter 1 Introduction\u003cbr\u003e1.1 Fractional Calculus via Application and Computation\u003cbr\u003e1.2 Motivation of Fractional Hermite-Hadamard’s Inequality\u003cbr\u003e1.3 Main Contents\u003cbr\u003eChapter 2 Preliminaries\u003cbr\u003e2.1 Definitions of Special Functions and Fractional Integrals\u003cbr\u003e2.2 Definitions of Convex Functions\u003cbr\u003e2.3 Singular Integrals via Series\u003cbr\u003e2.4 Elementary Inequalities\u003cbr\u003eChapter 3 Fractional Integral Identities\u003cbr\u003e3.1 Identities involving Riemann-Liouville Fractional Integrals\u003cbr\u003e3.2 Identities involving Hadamard Fractional Integrals\u003cbr\u003eChapter 4 Hermite-Hadamard’s inequalities involving Riemann-Liouville fractional integrals\u003cbr\u003e4.1 Inequalities via Convex Functions\u003cbr\u003e4.2 Inequalities via r-Convex Functions\u003cbr\u003e4.3 Inequalities via s-Convex Functions\u003cbr\u003e4.4 Inequalities via m-Convex Functions\u003cbr\u003e4.5 Inequalities via (s, m)-convex Functions\u003cbr\u003e4.6 Inequalities via Preinvex Convex Functions\u003cbr\u003e4.7 Inequalities via (β,m)-geometrically Convex Functions\u003cbr\u003e4.8 Inequalities via geometrical-arithmetically s-Convex Functions\u003cbr\u003e4.9 Inequalities via (α,m)-logarithmically Convex Functions\u003cbr\u003e4.10 Inequalities via s-GodunovaLevin functions\u003cbr\u003e4.11 Inequalities via AG(log)-convex Functions\u003cbr\u003eChapter 5 Hermite-Hadamard’s inequalities involving Hadamard fractional integrals\u003cbr\u003e5.1 Inequalities via Convex Functions\u003cbr\u003e5.2 Inequalities via s-e-ondition Functions\u003cbr\u003e5.3 Inequalities via geometric-geometric co-ordinated Convex Function\u003cbr\u003e5.4 Inequalities via Geometric-Geometric-Convex Functions\u003cbr\u003e5.5 Inequalities via Geometric-Arithmetic-Convex Functions\u003cbr\u003eReferences","brand":"De Gruyter","offers":[{"title":"Default Title","offer_id":53516551389527,"sku":"9783110522204","price":123.98,"currency_code":"GBP","in_stock":true}],"url":"https:\/\/bookcurl.com\/products\/fractional-hermite-hadamard-inequalities-9783110522204","provider":"Book Curl","version":"1.0","type":"link"}