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This volume presents a comprehensive compendium of classical and new inequalities as well as some recent extensions to well-known ones. Variations of inequalities ascribed to Abel, Jensen, Cauchy, Chebyshev, Hölder, Minkowski, Stefferson, Gram, Fejér, Jackson, Hardy, Littlewood, Po'lya, Schwarz, Hadamard and a host of others can be found in this volume. The more than 1200 cited references include many from the last ten years which appear in a book for the first time. The 30 chapters are all devoted to inequalities associated with a given classical inequality, or give methods for the derivation of new inequalities. Anyone interested in equalities, from student to professional, will find their favorite inequality and much more.

Mathematical analysis --- Inequalities (Mathematics) --- Mathematical analysis. --- Inequalities (Mathematics).

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Inequalities for Differential and Integral Equations has long been needed; it contains material which is hard to find in other books. Written by a major contributor to the field, this comprehensive resource contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools in the development of applications in the theory of new classes of differential and integral equations. For researchers working in this area, it will be a valuable source of reference and inspiration. It could also be used as the text for an advanced graduate course.

Inequalities (Mathematics) --- Differential equations. --- Integral equations.

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514.17 --- Convex sets. Geometric figure arrangements. Geometric inequalities --- 514.17 Convex sets. Geometric figure arrangements. Geometric inequalities --- Geometry

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Differential geometry. Global analysis --- Variational inequalities (Mathematics) --- Riemannian manifolds. --- Inégalités variationnelles. --- Riemann, Variétés de. --- Riemannian manifolds --- Inequalities, Variational (Mathematics) --- Calculus of variations --- Differential inequalities --- Manifolds, Riemannian --- Riemannian space --- Space, Riemannian --- Geometry, Differential --- Manifolds (Mathematics)

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Mathematical control systems --- Variational inequalities (Mathematics) --- Differential equations, Elliptic --- Differential equations, Parabolic