Title | ||
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On Generalization of Different Integral Inequalities for Harmonically Convex Functions |
Abstract | ||
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In this study, we first prove a parameterized integral identity involving differentiable functions. Then, for differentiable harmonically convex functions, we use this result to establish some new inequalities of a midpoint type, trapezoidal type, and Simpson type. Analytic inequalities of this type, as well as the approaches for solving them, have applications in a variety of domains where symmetry is important. Finally, several particular cases of recently discovered results are discussed, as well as applications to the special means of real numbers. |
Year | DOI | Venue |
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2022 | 10.3390/sym14020302 | SYMMETRY-BASEL |
Keywords | DocType | Volume |
midpoint and trapezoidal inequality, Simpson's inequality, harmonically convex functions | Journal | 14 |
Issue | ISSN | Citations |
2 | 2073-8994 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Jiraporn Reunsumrit | 1 | 0 | 1.01 |
Miguel J. Vivas-Cortez | 2 | 0 | 0.68 |
Muhammad Aamir Ali | 3 | 0 | 4.39 |
Thanin Sitthiwirattham | 4 | 0 | 3.72 |