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Journals / Turkish Journal of Science / 2022 / Cilt: 7 Sayı: 3

Exponentially $m-$ and $(\alpha,m)-$Convex Functions on the Coordinates and Related Inequalities

Sinan Aslan(AĞRI İBRAHİM ÇEÇEN ÜNİVERSİTESİ)0000-0001-5970-1926
Ahmet Ocak Akdemir(AGRI IBRAHIM CECEN UNIVERSITY)0000-0003-2466-0508
Mustafa Ali Dokuyucu(AGRI IBRAHIM CECEN UNIVERSITY)0000-0001-9331-8592
Pages
231–244
Publication Date
2022-12-30
DOI
—
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AI Summary & Key Takeaways

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

Then, some new integral inequalities are proved by using some classical inequalities and properties of exponentially $m-$ ad $(\alpha,m)-$convex functions on the co-ordinates.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present paper, new classes of convexity, namely, exponentially $m-$ and$(\alpha,m)-$convex functions on the co-ordinates are defined.
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Key Findings & Data:In the present paper, new classes of convexity, namely, exponentially $m-$ and$(\alpha,m)-$convex functions on the co-ordinates are defined.
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Conclusion & Impact:Then, some new integral inequalities are proved by using some classical inequalities and properties of exponentially $m-$ ad $(\alpha,m)-$convex functions on the co-ordinates.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:coordinates · exponentially convex functions · Hölder inequality

Abstract

In the present paper, new classes of convexity, namely, exponentially $m-$ and$(\alpha,m)-$convex functions on the co-ordinates are defined. Then, some new integral inequalities are proved by using some classical inequalities and properties of exponentially $m-$ ad $(\alpha,m)-$convex functions on the co-ordinates.

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Cite This Article

Aslan, S., Akdemir, A. O., Dokuyucu, M. A. (2022). Exponentially $m-$ and $(\alpha,m)-$Convex Functions on the Coordinates and Related Inequalities. Turkish Journal of Science, Cilt: 7 Sayı: 3, 231–244. https://ajindex.com/articles/913798

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References (3)

  1. Dragomir, S.S. (2001). On Hadamard’s inequality for convex functions on the co-ordinates in a rectangle from the plane, Taiwanese Journal of Math., 5, 775-788.
  2. Dragomir, S.S. and Toader, G. (1993). Some inequalities for m−convex functions, Studia University Babes Bolyai, Mathematica, 38 (1), 21-28. Mihes¸an, V.G. (1993).
  3. A generalization of the convexity, Seminar of Functional Equations, Approx. and Convex, Cluj-Napoca (Romania) (1993).