Open Accessn-Convexity via Delta-Integral Representation of Divided Difference on Time Scales
Author(s) -
Hira Ashraf Baig,
Naveed Ahmad
Publication year - 2022
Publication title -
international journal of analysis and applications
Language(s) - English
Resource type - Journals
ISSN - 2291-8639
DOI - 10.28924/2291-8639-20-2022-8
Subject(s) - mathematics , convexity , representation (politics) , delta , regular polygon , set (abstract data type) , pure mathematics , scale (ratio) , calculus (dental) , mathematical analysis , geometry , computer science , medicine , engineering , dentistry , politics , political science , financial economics , law , economics , programming language , aerospace engineering , physics , quantum mechanics
We introduce the delta-integral representation of divided difference on arbitrary time scales and utilize it to set criteria for n-convex functions involving delta-derivative on time scales. Consequences of the theory appear in terms of estimates which generalize and extend some important facts in mathematical analysis.