4.3 Article

SOME QUANTUM ESTIMATES OF HERMITE-HADAMARD INEQUALITIES FOR CONVEX FUNCTIONS

Journal

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
Volume 7, Issue 2, Pages 501-522

Publisher

WILMINGTON SCIENTIFIC PUBLISHER, LLC
DOI: 10.11948/2017031

Keywords

Convex functions; Hermite-Hadamard inequality; Holder integral inequality; Quantum estimate

Funding

  1. National Natural Science Foundation of China [11301277]
  2. Natural Science Foundation of Jiangsu Province [BK20151523]
  3. Six Talent Peaks Project in Jiangsu Province [2015-XCL-020]
  4. Qing Lan Project of Jiangsu Province

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In this study, based on a new quantum integral identity, we establish some quantum estimates of Hermite-Hadamard type inequalities for convex functions. These results generalize and improve some known results given in literatures.

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