Some integral inequalities of Hermite-Hadamard type for multiplicatively preinvex functions

Serap Özcan; Serap Özcan

doi:10.3934/math.2020103

AIMS Mathematics

2020, Volume 5, Issue 2: 1505-1518. doi: 10.3934/math.2020103

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Research article

Some integral inequalities of Hermite-Hadamard type for multiplicatively preinvex functions

Serap Özcan ^,

Department of Mathematics, Kırklareli University, 39100, Kırklareli, Turkey

Received: 05 November 2019 Accepted: 09 January 2020 Published: 21 January 2020
MSC : 26D07, 26D15

In this paper, some integral inequalities of Hermite-Hadamard type for multiplicatively preinvex functions are established. Also, new inequalities involving multiplicative integrals are obtained for product and quotient of preinvex and multiplicatively preinvex functions.
- invex sets,
- preinvex functions,
- multiplicative calculus,
- Hermite-Hadamard inequalities
Citation: Serap Özcan. Some integral inequalities of Hermite-Hadamard type for multiplicatively preinvex functions[J]. AIMS Mathematics, 2020, 5(2): 1505-1518. doi: 10.3934/math.2020103

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Abstract

In this paper, some integral inequalities of Hermite-Hadamard type for multiplicatively preinvex functions are established. Also, new inequalities involving multiplicative integrals are obtained for product and quotient of preinvex and multiplicatively preinvex functions.

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