Differential and Integral Inequalities

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Andrica, Dorin (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Rassias, Themistocles M. (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Springer Optimization and Its Applications, 151
• Θέματα: Difference equations.; Functional equations.; Approximation theory.; Functions of real variables.; Harmonic analysis.; Functions of complex variables.; Convex geometry .; Discrete geometry.; Difference and Functional Equations.; Approximations and Expansions.; Real Functions.; Abstract Harmonic Analysis.; Functions of a Complex Variable.; Convex and Discrete Geometry.

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, M...

Πίνακας περιεχομένων:

• 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 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).