Differential and Integral Inequalities. 1st ed. 2019

種類:

電子ブック

責任表示:

edited by Dorin Andrica, Themistocles M. Rassias

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2019

著者名:

• Andrica, Dorin.
• Rassias, Themistocles M.
• SpringerLink (Online service)

シリーズ名:

Springer Optimization and Its Applications ; 151

ISBN:

9783030274078 [3030274071]    

注記:

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’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 di
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, Gronwall, Wirtinger, as well as inequalities of functions with their integrals and derivatives. Each inequality is discussed with proven results, examples and various applications. Graduate students and advanced research scientists in mathematical analysis will find this reference essential to their understanding of differential and integral inequalities. Engineers, economists, and physicists will find the highly applicable inequalities practical and useful to their research.

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