Witold Jarczyk

Witold Jarczyk is a Professor at the Faculty of Mathematics, University of Zielona Góra, Poland. His academic profile encompasses extensive research and teaching in theoretical and applied mathematics.

His primary research interests include:

• Theory of averages and mean invariant maps
• Convexity and functional equations
• Iteration theory and recurring processes
• Nonlinear wave propagation including Korteweg-de Vries equation extensions
• Approximation theory using Fourier series
• Graph theory with focus on coloring problems
• Operator theory on locally convex spaces
• Applications of mathematics to real-world problems

Professor Jarczyk's research demonstrates significant theoretical depth across multiple mathematical domains. His work on nonlinear wave propagation investigates analytical solutions and integral invariants of complex wave equations, while his research in approximation theory examines summability of Fourier series and convergence conditions. In graph theory, he explores distinguishable edge coloring and rainbow coloring of digraphs.

Teaching activities span mathematical analysis, convex functions, discrete dynamic systems, measure and integral theory, real functions topology, functional analysis, and mathematics for technical and natural sciences students.

He actively participates in interdisciplinary research through the Center for Applications of Mathematics and Computer Science (OZMI), which develops mathematical solutions for sustainable energy, healthcare, and industrial innovation challenges.