Journals / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2020 / Cilt: 10 - Sayı: 1

Some Hermite-Hadamard type inequalities for (P, m)-function and quasi m-convex functions

Pages
78–84
Publication Date
2022-10-11
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We should especiallymention that the definition of (P,m)-function and quasi-m-convexity are givenfor the first time in the literature and moreover, the results obtained in specialcases coincide with the well-known results in the literature.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduce a new class of functions called as (P,m)-functionand quasi-m-convex function.
📊
Key Findings & Data:Some inequalities of Hadamard’s type for thesefunctions are given.
💡
Conclusion & Impact:We should especiallymention that the definition of (P,m)-function and quasi-m-convexity are givenfor the first time in the literature and moreover, the results obtained in specialcases coincide with the well-known results in the literature.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we introduce a new class of functions called as (P,m)-functionand quasi-m-convex function. Some inequalities of Hadamard’s type for thesefunctions are given. Some special cases are discussed. Results represent signifi-cant refinement and improvement of the previous results. We should especiallymention that the definition of (P,m)-function and quasi-m-convexity are givenfor the first time in the literature and moreover, the results obtained in specialcases coincide with the well-known results in the literature.

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Cite This Article

KADAKAL, M. (2022). Some Hermite-Hadamard type inequalities for (P, m)-function and quasi m-convex functions. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 10 - Sayı: 1, 78–84. https://ajindex.com/articles/440575

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