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Full Description
This volume presents cutting edge research from the frontiers of functional equations and analytic inequalities active fields. It covers the subject of functional equations in a broad sense, including but not limited to the following topics:
Hyperstability of a linear functional equation on restricted domains
Hyers-Ulam's stability results to a three point boundary value problem of nonlinear fractional order differential equations
Topological degree theory and Ulam's stability analysis of a boundary value problem of fractional differential equations
General Solution and Hyers-Ulam Stability of Duo Trigintic Functional Equation in Multi-Banach Spaces
Stabilities of Functional Equations via Fixed Point Technique
Measure zero stability problem for the Drygas functional equation with complex involution
Fourier Transforms and Ulam Stabilities of Linear Differential Equations
Hyers-Ulam stability of a discrete diamond-alpha derivative equation
Approximate solutions of an interesting new mixed type additive-quadratic-quartic functional equation.
The diverse selection of inequalities covered includes Opial, Hilbert-Pachpatte, Ostrowski, comparison of means, Poincare, Sobolev, Landau, Polya-Ostrowski, Hardy, Hermite-Hadamard, Levinson, and complex Korovkin type. The inequalities are also in the environments of Fractional Calculus and Conformable Fractional Calculus. Applications from this book's results can be found in many areas of pure and applied mathematics, especially in ordinary and partial differential equations and fractional differential equations. As such, this volume is suitable for researchers, graduate students and related seminars, and all science and engineering libraries. The exhibited thirty six chapters are self-contained and can be read independently and interestingadvanced seminars can be given out of this book.
Contents
Complex Korovkin Theory via inequalities, a quantitative approach.- Hyperstability of a lineat functional Equation aon restricted domains.- "Hyers-Ulam's stability results to a three point boundary value problem of nonlinear fractional order differential equations".- "Topological degree theory and Ulam's stability analysis of a boundary value problem of fractional differential equations".- On a variant of -Wilson's functional equation with an endomorphism.- On the additivity of maps preserving triple Jordan product A B + B A on algebras.- "General Solution and Hyers-Ulam Stability of DuoTrigintic Functional Equation in Multi-Banach Spaces".- "Stabilities of MIQD and MIQA Functional Equations via Fixed Point Technique".- Hyers-Ulam Stability of First Order Differential Equation via Integral Inequality.- "Stability of a n-Dimensional Functional Equation in Banach Space and Fuzzy Normed Space".- Measure zero stability problem for Drygas functional equation with complex involution.- Fourier Transforms and Ulam Stabilities of Linear Di erential Equations.- A class of functional equations of type d'Alembert on monoids.- Hyers-Ulam stability of a discrete diamond-alpha derivative equation.- Hyers-Ulam stability for a first-order linear proportional nabla difference operator.- Solution of generalized Jensen and quadratic functional equation.- On some functional equations with applications in Networks.- Approximate solutions of an (AQQ) additive-quadratic-quartic functional equation.- Ostrowski type inequalities involving sublinear integrals.- "Inequalities for special strong differential superordinations using a generalized S˘al˘agean operator and Ruscheweyh derivative".- Conformable fractional inequalities.- New inequalities for h-quasiconvex functions.- Local fractional Inequalities.- "Some new Hermite-Hadamard type integral inequalities for twice differentiable generalized ¹¹h1; h2º; ¹ 1; 2ºº-convex mappings and their applications".- Hardy's TypeInequalities Via Conformable Calculus.- Inequalities for Symmetrized or Anti-symmetrized Inner Products of Complex-Valued Functions Defined on an Interval.- Generalized Finite Hilbert Transform and Some Basic Inequalities.- Inequalities of Hermite-Hadamard Type for Composite Convex Functions.- Error Estimation for Approximate Solutions of Delay Volterra Integral Equations.- Harmonic and Trace Inequalities in Lipschitz Domains.- Dirichlet Beta Function via Generalized Mathieu Series Family.- Recent research on Levinson's inequality.- Integral Norm Inequalities for Various Operators on Differential Forms.- Hadamard integral inequality for the class of harmonically (; )-convex functions.- Norm Inequalities for Singular Integrals Related to Operators and Dirac-Harmonic Equations.- Inequalities for analytic functions defined by a fractional integral operator.
