Exploring Mathematical Analysis, Approximation Theory, and Optimization

Preface.- On a version of Jensen-Steffensen inequality and a note on inequalities in several variables.- A class of dynamic unilateral contact problems with sub-differential friction law.- Square-free values of $[textrm{n}^c tan^theta(log textrm{n})]$.- Ostrowski and Trapezoid Type Inequalities for Riemann-Liouville Fractional Integrals of Functions with Bounded Variation.- A strong maximum principle for general nonlinear operators.- On the Application of Ergodic Theory to an Alternating Series Expansion for Real Numbers.- Bounds for Similarity Condition Numbers of Unbounded Operators.- Legendre's Geometry and Trigonometry at the Evelpides School (Central Military School) during the Kapodristrian period.- The Overshadowing of Euclid's Geometry by Legendre's Géométrie in the Modern Greek Education.- Finite Element Methods with Higher Order Polynomials.- On Local Asymptotics for Orthonormal Polynomials.- New Trends inGeometric Function Theory.- A unified approach to extended general quasi variational inclusions.- On a Reverse Hilbert-Type Inequality in the Whole Plane with Multi-Parameters.- Generating functions for the Fubini type polynomials and their applications.- Kleene Fixed Point Theorems and Applications.- On ergodic states, spontaneous symmetry breaking and quasi-averages.- Improvement of the Hardy inequality and Legendre polynomials.

Nicholas J Daras is a Professor at the Department of Mathematics and Engineering Sciences of the Hellenic Military Academy. He obtained his PhD in Mathematics with the highest distinction from Université des Sciences and Techniques of Lille Flandres-Artois, Lille, France, in 1988. In 2002 he received a "best paper in mathematics Award" by the Academy of Athens. Over the years he has supervised 280 Diploma Theses, 18 Postgraduate Theses and 1 Doctoral Thesis. He has authored and edited several books. His research interests lie in complex analysis, numerical analysis, modeling and numerical simulation, universal series, holomorphic mappings in several complex variables, rational approximation, operations research, topological quantum computation, numerical representations as well as quantum cryptography and security.

Michael Th. Rassias is an Associate Professor at the Department of Mathematics and Engineering Sciences of the Hellenic Military Academy and a visiting Researcher at the Institute for Advanced Study, Princeton. He obtained his PhD in Mathematics from ETH-Zürich in 2014. During the academic year 2014-2015, he was a Postdoctoral researcher at the Department of Mathematics of Princeton University and the Department of Mathematics of ETH-Zürich, conducting research at Princeton. While at Princeton, he prepared with John F Nash, Jr. (Nobel Prize, 1994 and Abel Prize, 2015) the volume Open Problems in Mathematics, Springer, 2016. He has received several awards in mathematical problem-solving competitions, including a Silver medal at the International Mathematical Olympiad of 2003 in Tokyo. He has authored and edited several books, including the edited volume Analysis at Large jointly with A Avila (Fields Medal, 2014) and Y Sinai (Abel Prize, 2014). His current research interests lie in mathematical analysis, analytic number theory, and more specifically the Riemann Hypothesis, Goldbach's Conjecture, the distribution of prime numbers,