In this article, the bounds of unified integral operators are studied by using a new notion called refined $ (\alpha, h-m)-p $-convex function. The upper and lower bounds in the form of Hadamard inequality are established. From the results of this paper, refinements of well-known inequalities can be obtained by imposing additional conditions.
Citation: Moquddsa Zahra, Muhammad Ashraf, Ghulam Farid, Kamsing Nonlaopon. Inequalities for unified integral operators of generalized refined convex functions[J]. AIMS Mathematics, 2022, 7(4): 6218-6233. doi: 10.3934/math.2022346
In this article, the bounds of unified integral operators are studied by using a new notion called refined $ (\alpha, h-m)-p $-convex function. The upper and lower bounds in the form of Hadamard inequality are established. From the results of this paper, refinements of well-known inequalities can be obtained by imposing additional conditions.
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Moquddsa Zahra, Muhammad Ashraf, Ghulam Farid, Kamsing Nonlaopon. Inequalities for unified integral operators of generalized refined convex functions[J]. AIMS Mathematics, 2022, 7(4): 6218-6233. doi: 10.3934/math.2022346
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