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Inequalities for the generalized weighted mean values of g-convex functions with applications

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

In the article, we establish several inequalities for the generalized weighted mean values of g-convex functions. As applications, we provide several new Hermite-Hadamard type inequalities for the g-convex functions. Our results are the generalizations of some previously known results.

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Acknowledgements

This work was supported by the Natural Science Foundation of China (Grant Nos. 61673169, 11301127, 11701176, 11626101, 11601485).

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Authors and Affiliations

  1. School of Mathematics, Hunan Institute of Science and Technology, Yueyang, 414000, China

    Ming-Bao Sun

  2. Department of Mathematics, Huzhou University, Huzhou, 313000, China

    Yu-Ming Chu

  3. Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Changsha, 410114, China

    Yu-Ming Chu

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  1. Ming-Bao Sun
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Sun, MB., Chu, YM. Inequalities for the generalized weighted mean values of g-convex functions with applications. RACSAM 114, 172 (2020). https://doi.org/10.1007/s13398-020-00908-1

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