Work

Hermite–Hadamard-type inequalities arising from tempered fractional integrals including twice-differentiable functions

Year: 2024

Type: article

Abstract: UDC 517.5 We propose a new method for the investigation of integral identities according to tempered fractional operators. In addition, we prove the midpoint-type and trapezoid-type inequalities by using twice-differentiable convex functions associated with tempered fractional integral operators. We use the well-known Hölder inequality and the power-mean inequality in order to obtain inequalities of these types. The resulting Hermite–Hadamard-type inequalities are generalizations of some investigations in this field, involving Riemann–Liouville fractional integrals.

Source: Ukrains’kyi Matematychnyi Zhurnal

DOI: 10.3842/umzh.v76i9.7640

Authors: Fatih Hezenci, Hüseyin Budak, Muhammad Amer Latif

Institutions: Düzce Üniversitesi, King Faisal University

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404243119

FWCI: 2.343

Cites: 21

Cited by: 3

Related to: 10