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HERMITE–HADAMARD TYPE INEQUALITIES FOR FUNCTIONS WHEN A POWER OF THE ABSOLUTE VALUE OF THE FIRST DERIVATIVE IS P-CONVEX

  • A. BARANI (a1) and S. BARANI (a2)
Abstract
Abstract

In this paper we extend some estimates of the right-hand side of a Hermite–Hadamard type inequality for functions whose derivatives’ absolute values are P-convex. Applications to the trapezoidal formula and special means are introduced.

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For correspondence; e-mail: alibarani2000@yahoo.com
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[4]S. S. Dragomir , ‘Two mappings on connection to Hadamard’s inequality’, J. Math. Anal. Appl. 167 (1992), 4956.

[9]S. S. Dragomir and R. P. Agarwal , ‘Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula’, Appl. Math. Lett. 11 (1998), 9195.

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Bulletin of the Australian Mathematical Society
  • ISSN: 0004-9727
  • EISSN: 1755-1633
  • URL: /core/journals/bulletin-of-the-australian-mathematical-society
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