This volume presents significant advances in a number of theories and problems of Mathematical Analysis and its applications in disciplines such as Analytic Inequalities, Operator Theory, Functional Analysis, Approximation Theory, Functional Equations, Differential Equations, Wavelets, Discrete Mathematics and Mechanics. The contributions focus on recent developments and are written by eminent scientists from the international mathematical community. Special emphasis is given to new results that have been obtained in the above mentioned disciplines in which Nonlinear Analysis plays a central role.
Some review papers published in this volume will be particularly useful for a broader readership in Mathematical Analysis, as well as for graduate students. An attempt is given to present all subjects in this volume in a unified and self-contained manner, to be particularly useful to the mathematical community.
Simple Proofs of Some Bernstein-Mordell Type Inequalities (V. Adiyasuren, Tserendorj Batbold).- Hilbert-Type Inequalities Including Some Operators, The Best Possible Constants and Applications: A survey (V. Adiyasuren, Tserendorj Batbold, M. Krnic).- On the Mazur-Ulam Theorem (M. Aghajani).- A Fixed Point Approach to Stability of the Quadratic Equation (M. Almahalebi, A. Charifi, S. Kabbaj, E. Elqorachi).- Aspects of Global Analysis of Circle-Valued Mappings (D. Andrica, D. Mangra, C. Pintea).- A Remark on Some Simultaneous Functional Inequalities in Riesz Spaces (B. Batko, J. Brzdek).- Elliptic Problems on the Sierpinski Gasket (B.E. Breckner, C. Varga).- Initial Value Problems in Linear Integral Operator Equations (L.P. Castro, M.M. Rodrigues, S. Saitoh).- Extension Operators that Preserve Geometric and Analytic Properties of Biholomorphic Mappings (T. Chirila).- Normal Cones and Thompson Metric (S. Cobzas, M.-D. Rus).- Functional Operators and Approximate Solutions of Functional Equations (S. Czerwik, K. Król).- Markov-Type Inequalities with Applications in Multivariate Approximation Theory (N.J. Daras).- The Number of Prime Factors Function on Shifted Primes and Normal Numbers (J.-M. De Koninck, I. Kátai).- Imbedding Inequalities for Composition of Green's and Potential Operators (S. Ding, Y. Xing).- On Approximation Properties of q-King Operators (Z. Finta).- Certain Szász-Mirakyan-Beta Operators (N.K. Govil, V. Gupta, D. Soybas).- Extremal Problems and g-Loewner Chains in Cn and Reflexive Complex Banach Spaces (I. Graham, H. Hamada, G. Kohr).- Different Durrmeyer Variants of Baskakov Operators (V. Gupta).- Hypergeometric Representation of Certain Summation-Integral Operators (V. Gupta, T.M. Rassias).- On a Hybrid Fourth Moment Involving the Riemann Zeta-Function (A. Ivic, W. Zhai).- On the Invertibility of Some Elliptic Operators on Manifolds with Boundary and Cylindrical Ends (M. Kohr, C. Pintea).- Meaned Spaces and a General Duality Principle (J. Kolumbán, J.J. Kolumbán).- An AQCQ-Functional Equation in Matrix Random Normed Spaces (J.R. Lee, C. Park, T.M. Rassias).- A Planar Location-Allocation Problem with Waiting Time Costs (L. Mallozzi, E. D'Amato, E. Daniele).- The Stability of an Affine Type Functional Equation with the Fixed Point Alternative (M. Mursaleen, K.J. Ansari).- On Some Integral Operators (K.I. Noor).- Integer Points in Large Bodies (W.G. Nowak).- On the Orderability Problem and the Interval Topology (K. Papadopoulos).- A Class of Functional-Integral Equations with Applications to a Bilocal Problem (A. Petrusel, I.A. Rus).- Hyperbolic Wavelets (F. Schipp).- One Hundred Years Uniform Distribution Modulo One and Recent Applications to Riemann's Zeta-Function (J. Steuding).- On the Energy of Graphs (I. Triantafillou).- Implicit Contractive Maps in Ordered Metric Spaces (M. Turinici).- Higher Dimensional Continuous Wavelet Transform in Wiener Amalgam (F. Weisz).- Multidimensional Hilbert-Type Integral Inequalities and Their Operators (B. Yang).