4 papers
Some Stability Results on Graphs
Angshuman R. Goswami, Mahmood K. Shihab
The primary objective of this paper is to introduce Hyers-Ulam-type stability results for monotone, subadditive, and convex graphs. We consider their standard definitions in an app…
Cauchy--Schwarz-type inequalities for additive functions
Zsolt Páles, Mahmood Kamil Shihab
The main goal of this paper is to show that if a real valued function defined on a groupoid satisfies a certain Levi--Civita-type functional equation, then it also fulfills a Cauch…
On convexity properties with respect to a Chebyshev system
Zsolt Páles, Mahmood Kamil Shihab
The main purpose of this paper is to introduce various convexity concepts in terms of a positive Chebyshev system and give a systematic investigation of the relations among the…
Decomposition of higher-order Wright convex functions revisited
Zsolt Páles, Mahmood Kamil Shihab
In 2009, Maksa and Páles established an extension of the decomposition theorem of Ng in the context of higher-order convexity notions. They proved that a real function is Wright co…