On Jensen-type inequalities for harmonic convex functions Articles uri icon

publication date

  • December 2024

start page

  • 1399

end page

  • 1413

issue

  • 4

volume

  • 18

International Standard Serial Number (ISSN)

  • 1846-579X

abstract

  • Inequalities play a main role in pure and applied mathematics. In particular, Jensen inequality plays an important role in many fields of Mathematics. In this paper we prove two new Jensen-type inequalities for harmonic convex functions via fractional calculus, and we apply them to generalized Caputo-type fractional integrals.

subjects

  • Mathematics

keywords

  • jensen-type inequalities; harmonic convex functions; fractional integral inequalities; caputo-type fractional integrals