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<p>The main purpose of this paper is to obtain new generalizations of the weighted Hermite-Hadamard and Fejér type inequalities for higher order convex functions by using the generalizations of the Montgomery identity. In addition, some applications of these results are given for various types of weight functions.</p>

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Generalizations of the Weighted Hermite-Hadamard and Fejér Inequalities via the Montgomery Identity

  • 期刊论文

  • 发表日期：

    2025年7月13日

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  • S. Kovač,
  • J. Pečarić,
  • M. Ribičić Penava

摘要

The main purpose of this paper is to obtain new generalizations of the weighted Hermite-Hadamard and Fejér type inequalities for higher order convex functions by using the generalizations of the Montgomery identity. In addition, some applications of these results are given for various types of weight functions.