Open Access

On Functions with Monotonic Differences

   | Mar 20, 2024

Cite

M. Balcerowski, On a problem of T. Szostok on functions with monotonic di˙erences, Aequationes Math. 85 (2013), no. 1–2, 165–167. Search in Google Scholar

N.G. de Brujin, Functions whose di˙erences belong to a given class, Nieuw Arch. Wiskunde (2) 23 (1951), 194–218. Search in Google Scholar

M. Kuczma, An Introduction to the Theory of Functional Equations and Inequalities, PWN – Uniwersytet ‚Śląski, Warszawa-Kraków-Katowice, 1985. Search in Google Scholar

G. Maksa and Z. Páles, Decomposition of higher-order Wright-convex functions, J. Math. Anal. Appl. 359 (2009), no. 2, 439–443. Search in Google Scholar

C.T. Ng, Functions generating Schur-convex sums, in: W. Walter (ed.), General Inequalities, 5 (Oberwolfach, 1986), International Series of Numerical Mathematics, 80, Birkhäuser, Basel-Boston, 1987, pp. 433–438. Search in Google Scholar

Z. Páles, An elementary proof for the decomposition theorem of Wright convex functions, Ann. Math. Sil 34 (2020), no. 1, 142–150. Search in Google Scholar

T. Rajba, A generalization of multiple Wright-convex functions via randomization, J. Math. Anal. Appl. 388 (2012), no. 1, 548–565. Search in Google Scholar

T. Szostok, 4. Problem. Report of Meeting. The Fifth Katowice-Debrecen Winter Seminar on Functional Equations and Inequalities, February 2–5, 2005, B¦dlewo, Poland, Ann. Math. Sil. 19 (2005), 65–78. Search in Google Scholar

T. Szostok, 5. Problem. Report of Meeting. The Forty-fourth International Symposium on Functional Equations, May 14–20, 2006, Lousiville, USA, Aequationes Math. 73 (2007), no. 1–2, 172–200. Search in Google Scholar

T. Szostok, On ω-convex functions, in: H. Hudzik et al. (eds.), Function Spaces IX, Banach Center Publications, 92, Polish Academy of Sciences, Institute of Mathematics, Warsaw, 2011, pp. 351–359. Search in Google Scholar

E.M. Wright, An inequality for convex functions, Amer. Math. Monthly 61 (1954), 620–622. Search in Google Scholar

eISSN:
2391-4238
Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Mathematics, General Mathematics