On a certain Polish mathematician: a brief summary of scientific research and achievements of Kazimierz Nikodem, professor of mathematics
Abstract
A brief summary of scientific research and achievements of Kazimierz Nikodem, professor of mathematics.
Keywords
onvexity; set-valued functions; inequalities; stochastic processes
References
K. Baron, J. Matkowski, and K. Nikodem, A sandwich with convexity, Math. Pannon. 5 (1994), no. 1, 139–144.
Gy. Maksa, K. Nikodem, and Zs. Páles, Results on t-Wright convexity, C. R. Math. Rep. Acad. Sci. Canada 13 (1991), no. 6, 274–278.
N. Merentes and K. Nikodem, Remarks on strongly convex functions, Aequationes Math. 80 (2010), no. 1–2, 193–199.
N. Merentes, K. Nikodem, and S. Rivas, Remarks on strongly Wright-convex functions, Ann. Polon. Math. 102 (2011), no. 3, 271–278.
K. Nikodem, On convex stochastic processes, Aequationes Math. 20 (1980), no. 2–3, 184–197.
K. Nikodem, On quadratic stochastic processes, Aequationes Math. 21 (1980), no. 2–3, 192–199.
K. Nikodem, Midpoint convex functions majorized by midpoint concave functions, Aequationes Math. 32 (1987), no. 1, 45–51.
K. Nikodem, On Jensen’s functional equation for set-valued functions, Rad. Mat. 3 (1987), no. 1, 23–33.
K. Nikodem, K-convex and K-concave set valued functions (Habilitation dissertation), Zeszyty Nauk. Politech. Łódz. Mat. 559 (Rozprawy Nauk 114), Łódz, 1989, 75 pp.
K. Nikodem, On the support of midconvex operators, Aequationes Math. 42 (1991), no. 2–3, 182–189.
K. Nikodem, A characterization of quasi-arithmetic set-valued means, Linear Nonlinear Anal. 8 (2022), no. 2, 147–154.
K. Nikodem and C.T. Ng, On approximately convex functions, Proc. Amer. Math. Soc. 118 (1993), no. 1, 103–108.
K. Nikodem and Zs. Páles, Characterizations of inner product spaces by strongly convex functions, Banach J. Math. Anal. 5 (2011), no. 1, 83–87.
K. Nikodem and T. Rajba, Ohlin and Levin-Stečkin - type results for strongly convex functions, Ann. Math. Sil. 34 (2020), no. 1, 123–132.
K. Nikodem and Sz. Wąsowicz, A sandwich theorem and Hyers–Ulam stability of affine functions, Aequationes Math. 49 (1995), no. 1–2, 160–164.
Katedra Matematyki, Uniwersytet Bielsko-Bialski Poland
https://orcid.org/0000-0002-9268-8951
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