Bullen-type inequalities for twice-differentiable functions by using conformable fractional integrals

Autor:	Fatih Hezenci, Hüseyin Budak
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Bullen-type inequalities Convex functions Fractional integrals Riemann–Liouville fractional integrals Conformable fractional integrals Mathematics QA1-939
Zdroj:	Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-12 (2024)
Druh dokumentu:	article
ISSN:	1029-242X
DOI:	10.1186/s13660-024-03130-4
Popis:	Abstract In this paper, we prove an equality for twice-differentiable convex functions involving the conformable fractional integrals. Moreover, several Bullen-type inequalities are established for twice-differentiable functions. More precisely, conformable fractional integrals are used to derive such inequalities. Furthermore, sundry significant inequalities are obtained by taking advantage of the convexity, Hölder inequality, and power-mean inequality. Finally, we provide our results by using special cases of obtained theorems.
Databáze:	Directory of Open Access Journals
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