Hermite–Hadamard-type inequalities for conformable integrals

• Autores: Bohner, Martin; Kashuri, Artion; Mohammed, Pshtiwan Othman; Nápoles Valdés, Juan Eduardo
• Año de publicación: 2022
• Idioma: inglés
• Tipo de recurso: artículo
• Fuente: Hacettepe Journal of Mathematics and Statistics, 2022, vol. 51, no. 3, p. 775-786.
• Materia: Hermite–Hadamard inequality; Convex function; Conformable integral
• Institución: Universidad Nacional del Nordeste

Fil: Bohner, Martin. Missouri University of Science and Technology. Department of Mathematics and Statistics; Estados Unidos de América.
Fil: Kashuri, Artion. Polytechnic University of Tirana. Department of Mathematical Engineering; Albania.
Fil: Mohammed, Pshtiwan Othman. Universidad de Suleimaniya. College of Education; Iraq.
Fil: Nápoles Valdés, Juan Eduardo. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina.
In this study, some inequalities of Hermite–Hadamard type for integrals arising in con- formable fractional calculus are presented. In fact, the obtained inequalities are not only valid for those integrals arising in conformable fractional calculus, but for more general in- tegrals as well. Numerous known versions are recovered as special cases. We also illustrate our findings via applications to modified Bessel functions, special means, and midpoint approximations.