Giaccardi Inequality for Modified h -Convex Functions and Mean Value Theorems

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Abstract
In this article, we consider the class of modified convex functions and derive the famous Giaccardi and Petrovi type inequalities for this class of functions. The mean value theorems for the functionals due to Giaccardi and Petrovi type inequalities are formulated. Some special cases are discussed by taking different examples of function .
Funding Information
  • Erasmus+ SHYFTE Project (598649-EPP-1-2018-1-FR-EPPKA2-CBHE-JP, 2021YFH0107, 2020-YF09-00005-SN, 2018YFB0904205)
  • Sichuan Science and Technology Program (598649-EPP-1-2018-1-FR-EPPKA2-CBHE-JP, 2021YFH0107, 2020-YF09-00005-SN, 2018YFB0904205)
  • Science & Technology Bureau of Chengdu (598649-EPP-1-2018-1-FR-EPPKA2-CBHE-JP, 2021YFH0107, 2020-YF09-00005-SN, 2018YFB0904205)
  • National key research and development program (598649-EPP-1-2018-1-FR-EPPKA2-CBHE-JP, 2021YFH0107, 2020-YF09-00005-SN, 2018YFB0904205)
  • Higher Education Commission of Pakistan with NRPU (598649-EPP-1-2018-1-FR-EPPKA2-CBHE-JP, 2021YFH0107, 2020-YF09-00005-SN, 2018YFB0904205)

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