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On New Generalized Mitrinović-Adamović-Type Inequalities

Author

Listed:
  • Yogesh J. Bagul

    (Department of Mathematics, K. K. M. College, Manwath 431505, India)

  • Wei-Shih Du

    (Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 824004, Taiwan)

Abstract

In this paper, we establish new generalized Mitrinović-Adamović-type inequalities in a wider range ( 0 , π ) by using the monotonicity of certain functions. These inequalities contain sharp and tractable bounds for the function sin x x 3 . All the main results are also true in ( − π , 0 ) due to the symmetry of the curves involved.

Suggested Citation

  • Yogesh J. Bagul & Wei-Shih Du, 2025. "On New Generalized Mitrinović-Adamović-Type Inequalities," Mathematics, MDPI, vol. 13(7), pages 1-19, April.
  • Handle: RePEc:gam:jmathe:v:13:y:2025:i:7:p:1174-:d:1626796
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