LEADER 06455nam 22007815 450 001 9910360852503321 005 20200630230408.0 010 $a3-030-27407-1 024 7 $a10.1007/978-3-030-27407-8 035 $a(CKB)4100000009844813 035 $a(DE-He213)978-3-030-27407-8 035 $a(MiAaPQ)EBC5979128 035 $a(PPN)248602349 035 $a(EXLCZ)994100000009844813 100 $a20191114d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDifferential and Integral Inequalities /$fedited by Dorin Andrica, Themistocles M. Rassias 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (IX, 854 p. 2 illus., 1 illus. in color.) 225 1 $aSpringer Optimization and Its Applications,$x1931-6828 ;$v151 311 $a3-030-27406-3 327 $aConvexity 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 (Agli? Aljinovi?) -- 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 PoincarŽe-Type Inequalities in Wn1 (0;1) (Guessab) -- Best Constants for Weighted PoincarŽe-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 (Male?eviŽc) -- The Levin-Ste?ckin 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). 330 $aTheories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book. Fundamental and recent developments are presented on the inequalities of Abel, Agarwal, Beckenbach, Bessel, Cauchy?Hadamard, Chebychev, Markov, Euler?s constant, Grothendieck, Hilbert, Hardy, Carleman, Landau?Kolmogorov, Carlson, Bernstein?Mordell, Gronwall, Wirtinger, as well as inequalities of functions with their integrals and derivatives. Each inequality is discussed with proven results, examples and various applications. Graduate students and advanced research scientists in mathematical analysis will find this reference essential to their understanding of differential and integral inequalities. Engineers, economists, and physicists will find the highly applicable inequalities practical and useful to their research. 410 0$aSpringer Optimization and Its Applications,$x1931-6828 ;$v151 606 $aDifference equations 606 $aFunctional equations 606 $aApproximation theory 606 $aFunctions of real variables 606 $aHarmonic analysis 606 $aFunctions of complex variables 606 $aConvex geometry 606 $aDiscrete geometry 606 $aDifference and Functional Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12031 606 $aApproximations and Expansions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12023 606 $aReal Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12171 606 $aAbstract Harmonic Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12015 606 $aFunctions of a Complex Variable$3https://scigraph.springernature.com/ontologies/product-market-codes/M12074 606 $aConvex and Discrete Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21014 615 0$aDifference equations. 615 0$aFunctional equations. 615 0$aApproximation theory. 615 0$aFunctions of real variables. 615 0$aHarmonic analysis. 615 0$aFunctions of complex variables. 615 0$aConvex geometry. 615 0$aDiscrete geometry. 615 14$aDifference and Functional Equations. 615 24$aApproximations and Expansions. 615 24$aReal Functions. 615 24$aAbstract Harmonic Analysis. 615 24$aFunctions of a Complex Variable. 615 24$aConvex and Discrete Geometry. 676 $a515.625 676 $a515.75 702 $aAndrica$b Dorin$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aRassias$b Themistocles M$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910360852503321 996 $aDifferential and Integral Inequalities$91732437 997 $aUNINA