MATHEMATICAL ANALYSIS, OPTIMIZATION, APPROXIMATION & APPLN

The comprehensive volume focuses on both research and survey papers presenting results in a broad spectrum of subjects in pure and applied mathematics, such as in approximation theory, optimization and their applications.

Topics within this book include Sobolev spaces, Banach spaces, locally convex spaces, integral operators, Szasz-Mirakyan operators, to name a few.

This useful reference text benefits professionals, academics, graduate students and advanced research scientists in theoretical computer science, computer mathematics and general applied mathematics. Effort was also made for the content to constitute a reference source for researchers in physics and engineering.

Contents:

• Extensions of the Cosine-Sine Functional Equation (O Ajebbar and E Elqorachi)
• No Ulam Stability, but Modified Ulam Stability of First-order q-Difference Equations with Periodic Coefficient (Douglas R Anderson)
• Generalized Fractional Hermite–Hadamard–Noor Inequalities Via n-Polynomial Preinvex Functions (Muhammad Uzair Awan, Muhammad Ubaid Ullah, Michael Th Rassias, Sadia Talib, Muhammad Aslam Noor and Khalida Inayat Noor)
• An Approach of Locally Convex and Barrelled Spaces Over an Arbitrary Field Equipped with a Valuation, Without Using 'Convex' but Utilizing 'Absolutely Convex'(V Benekas)
• Random Stability of a System of Functional Equations (Abasalt Bodaghi)
• Multi-quintic Mappings and Their Stability (Abasalt Bodaghi, Ali Bagheri Vakilabad and Themistocles Michael Rassias)
• On Classical Orthogonal Polynomials on Lattices and Some Characterization Theorems (K Castillo, D Mbouna and J Petronilho)
• A Closed-Loop Supply Chain Network Model for the Provision of 5G Services with UAVs and Trustworthiness Investments (G Colajanni, P Daniele and D Sciacca)
• Kuratowski's Topology in b-Metric Spaces (Stefan Czerwik)
• Cube-Free Values of [n^c tan^θ (log n)] (S I Dimitrov)
• Some Inequalities of Trapezoid Type for Double Integral Mean of Absolutely Continuous Functions (Silvestru Sever Dragomir)
• Mathematical Models and Advancements in Cardiac Hemodynamics (Anastasios C Felias, Michail Th Rassias, Michail A Xenos and Minas E Paschopoulos)
• Lyusternik–Schnirelmann Theory for Weighted Sobolev Spaces (Lucas Fresse and Viorica V Motreanu)
• On the Stochastic Properties of Birth-Death Circuit Chains for a Generalized Sample Path Case (Chrysoula Ganatsiou)
• Recurrent Neural Networks for Solving Time-Varying Linear Optimization Problems (D Gerontitis and P Tzekis)
• Solution Estimates and Stability Conditions for Linear Differential Equations with Unbounded Operators in a Banach Space (Michael Gil')
• Numerical Solution of a Moving Boundary Problem Related to Phase Change Material (D Goeleven and R Oujja)
• On Approximation of Certain Modified Szász–Mirakyan Operators (Vijay Gupta, Gunjan Agrawal, and Michael Th Rassias)
• Certain Extension of Riemann–Liouville Fractional Derivative Operator by Using Wiman's Function (Shilpi Jain, Rahul Goyal, R P Agarwal, Praveen Agarwal, and Shaher Momani)
• A Finite Element Scheme for an Initial Value Problem (Vassilios K Kalpakides)
• Norm Inequalities for Fractional Integral Operators in Banach Spaces (Jichang Kuang)
• Generalized Fractional Hilbert-type Integral Inequalities (Jichang Kuang and Michael Th Rassias)
• Hyers–Ulam–Rassias Stability of Additive (ρ₁, ρ₂)-Functional Inequalities and hom-Derivations in Banach Algebras (Jung Rye Lee, Choonkil Park, and Themistocles M Rassias)
• An Additive (ρ₁, ρ₂)-Functional Inequality in Complex Banach Spaces (Jung Rye Lee, Choonkil Park, and Michael Th Rassias)
• The Effect of Two Exterior Masspoints on Bounds for Orthogonal Polynomials (D S Lubinsky)
• The Stability of a Functional Equation in Two Variables (Laura Manolescu and Michael Th Rassias)
• Static Nuel Games with Terminal Payoff (Symeon Mastrakoulis and Athanasios Kehagias)
• Studying the Performance of LexOpt Algorithm for Unconstrained Optimization (Christina D Nikolakakou, Theodoula N Grapsa and George S Androulakis)
• Strongly Biconvex Functions and Bivariational Inequalities (Muhammad Aslam Noor, Khalida Inayat Noor and Michael Th Rassias)
• System of General Variational Inclusions (Muhammad Aslam Noor, Khalida Inayat Noor and Themistocles M Rassias)
• Higher-Order Bihemivariational Inequalities (Muhammad Aslam Noor, Khalida Inayat Noor, Themistocles M Rassias and Muhammad Uzair Awan)
• On the Ranking of Players in Network Games with Local Average (Mauro Passacantando and Fabio Raciti)
• A Two-Stage Game Theoretical Model of Social Interactions and Location Choice in City Areas (Mauro Passacantando, Fabio Raciti and Michael Th Rassias)
• On a Theorem of Miron Nicolescu: Proofs, Generalizations, and Applications to Zeros Separation of Some Special Functions (Adrian Petruşel and Ioan A Rus)
• Minimization of the Free Energy with an Expectation Constraint (Iosif Pinelis)
• An Extended Hardy–Hilbert's Integral Inequality with Internal Variables Involving Two Upper-Limit Functions (Michael Th Rassias and Bicheng Yang)
• Implicit Sequential Contractions in Partially Ordered Metric Spaces (Mihai Turinici)
• Equivalent Properties of Two Kinds of Hardy-Type Integral Inequalities with the General Non-homogeneous Kernel in the Whole Plane (Bicheng Yang)

Readership: Researchers, professionals, academics and graduate students in theoretical computer science, computer maths, and general applied maths.