Extremal Problems of Analysis and Applications

Vladyslav Babenko, Ph. D., Habilitated Doctor in Mathematics, is Professor in the Department of Mathematical Analysis and Optimization at Oles Honchar Dnipro National University, where his teaching focuses on functional analysis and theory of Functions of real and complex variables. His research interests include areas of analysis and approximation theory. Dr. Babenko has over 450 journal publications in mathematical sciences and has published four books. Vladimir Kofanov, Ph. D., Habilitated Doctor in Mathematics, is Professor in the Department of Mathematical Analysis and Optimization at Oles Honchar Dnipro National University, where his teaching focuses on functional analysis and theory of functions of real and complex variables. Hi research interests include different areas of theory of inequalities for derivatives of differentiable functions as well as polynomials and splines and their applications in approximation theory.  Dr. Kofanov has over 200 journal publications in mathematical sciences and has published three books.Peter Kogut, Ph. D., Habilitated Doctor in Mathematics, is Professor in the Department of Mathematical Analysis and Optimization at Oles Honchar Dnipro National University, where his teaching focuses on variational methods in mathematical physics, optimal control theory for distributed systems, and nonlinear functional analysis. His research interests include the different areas of optimization theory, optimal control problems for PDEs, image processing, asymptotic analysis, optimization in partially ordered spaces, and homogenization theory.  He has over 200 journal publications in mathematical sciences and two books. Oleg Kovalenko, Ph. D., Habilitated Doctor in Mathematics, is Professor in the Department of Mathematical Analysis and Optimization at Oles Honchar Dnipro National University, where his teaching focuses   on mathematical analysis, complex analysis, and numeric Methods. He conducts research in the following areas: extremal problems in approximation theory for numeric and non-numeric functions, inequalities for derivatives, and optimal recovery problems.Nataliia Parfinovych, Ph. D., Habilitated Doctor in Mathematics, is Head of the Department of Mathematical Analysis and Optimization at Oles Honchar Dnipro National University, where her teaching focuses on mathematical analysis, approximation theory, harmonic analysis and its application, and mathematics teaching methods. She conducts research and has achieved notable results in the following areas: extremal problems in approximation theory,  approximation of individual functions and functional classes by splines and their analogues,  investigation of internal properties of approximating aggregates,  inequalities for norms of fractional and integer derivatives, approximation of unbounded operators by bounded ones,  and optimal recovery of operators on inaccurate information. She is the Editor-in-Chief of the scientific journal Research in Mathematics.

• Introduction.- On Ostrowski Type Inequalities and Their Applications.- The Bojanov-Naidenov Problem for Differentiable Functions and the Erdos Problem for Polynomials and Splines.- A Sharp Remez Type Inequalities.- Restoration of the Noise Corrupted Optical Images with Their Simultaneous Contrast Enhancement.- Variational Approach to Simultaneous Fusion and Denoising.