Some inequalities via fractional conformable integral operators. (English) Zbl 1499.26155
Summary: In this paper, we adopt conformable fractional integral to develop integral inequalities such as Minkowski and Hermite-Hadamard inequalities. Our results are the generalization of the inequalities obtained by Z. Dahmani [Ann. Funct. Anal. 1, No. 1, 51–58 (2010; Zbl 1205.26031)] and L. Bougoffa [JIPAM, J. Inequal. Pure Appl. Math. 7, No. 2, Paper No. 60, 3 p. (2006; Zbl 1132.26007)].
MSC:
| 26D15 | Inequalities for sums, series and integrals |
| 26D10 | Inequalities involving derivatives and differential and integral operators |
| 26A33 | Fractional derivatives and integrals |
Keywords:
gamma function; concave function; Minkowski inequalities; Hermite-Hadamard type inequalities; Riemann-Liouville fractional integral; fractional conformable integralReferences:
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