Jensen-type inequalities for m-convex functions Articles uri icon

publication date

  • September 2022

start page

  • 946

end page

  • 958


  • 1


  • 20

International Standard Serial Number (ISSN)

  • 2391-5455


  • Inequalities play an important role in pure and applied mathematics. In particular, Jensen's inequality, one of the most famous inequalities, plays a main role in the study of the existence and uniqueness of initial and boundary value problems for differential equations.
    In this work we prove some new Jensen-type inequalities for m-convex functions, and apply them to generalized Riemann-Liouville-type integral operators. Furthermore, as a remarkable consequence, some new inequalities for convex functions are obtained.


  • jensen-type inequalities; convex functions; m-convex functions; fractional derivatives and integrals; fractional integral inequalitie