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Differential and integral inequalities

Author: D Andrica; Themistocles M Rassias
Publisher: Cham, Switzerland : Springer, 2019.
Series: Springer optimization and its applications, v. 151.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book. Fundamental and recent developments are presented on the inequalities of Abel, Agarwal, Beckenbach, Bessel, Cauchy-Hadamard, Chebychev, Markov, Euler's constant, Grothendieck, Hilbert, Hardy, Carleman, Landau-Kolmogorov, Carlson, Bernstein-Mordell,  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
(OCoLC)1107813869
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: D Andrica; Themistocles M Rassias
ISBN: 9783030274078 3030274071
OCLC Number: 1128096381
Description: 1 online resource (ix, 854 pages) : illustrations (some color).
Contents: Convexity variants and Fejer inequalities with general weight.- Error estimates of approximations for the complex valued integral transforms (Abramovich).- Some New Methods for Generating Convex Functions (Aglić Aljinović).- Convexity Revisited: Methods, Results, and Applications (Andrica).- Harmonic exponential convex functions and inequalities (Uzair Awan).- On the Hardy-Sobolev inequalities (Cotsiolis).- Two points taylor#x92;s type representations with integral remainders (Dragomir).- Some weighted inequalities for Riemann-Stieltjes integral when a function is bounded (Dragomir).- Cauchy-Schwarz inequality and Riccati equation for positive semide nite matrices (Fujii).- "Inequalities for Solutions of Linear Differential Equations in a Banach Space and Integro-Differential Equations" (Gil).- Best Constants for Poincar´e-Type Inequalities in Wn1 (0;1) (Guessab).- Best Constants for Weighted Poincar´e-Type Inequalities (Guessab).- Operator inequalities involvedWiener-Hopf problems in the open unit disk (Ibrahim).- Some new Hermite-Hadamard type integral inequalities via Caputo k-fractional derivatives and their applications (Kashuri).- Some new Hermite-Hadamard type integral inequalities for twice differentiable mappings and their applications (Kashuri).- Inequalities in Statistics and Information Measures (Kitsos).- Multiple Hardy-Littlewood Integral Operator Norm Inequalities (Jichang).- Norm Inequalities for Generalized Fractional Integral Operators (Jichang).- Application of Davies-Petersen Lemma (Kumar).- Double-sided Taylor's approximations and their applications in Theory of analytic inequalities (Maleševi´c).- The Levin-Steˇckin Inequality and Simple Quadrature Rules (Mercer).- (p;q)-Laplacian equations with convection term and an intrinsic operator (Motreanu).- Iterative methods for variational inequalities (Aslam Noor).- Recent developments of Lyapunov-type inequalities for fractional differential equations (Ntouyas).- Hypersingular Integrals in Integral Equations and Inequalities: Fundamental Review Study (Obaiys).- Exact bounds on the zeros of solutions of second-order differential inequalities (Pinelis).- Variational methods for emerging real-life and environmental conservation problems (Scrimali).- Meir-Keeler sequential contractions and applications ( Turinici).- An Extended Multidimensional Half-Discrete Hardy-Hilbert-Type Inequality with a General Homogeneous Kernel (Yang).
Series Title: Springer optimization and its applications, v. 151.
Responsibility: Dorin Andrica, Themistocles M. Rassias, editors.

Abstract:

Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book.  Read more...

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