Earthquake convexity and some new related inequalities

• Autorzy: Kadakal Mahir , İşcan İmdat , Kadakal Huriye

Identyfikatory

DOI

10.1515/jaa-2023-0046

• Języki publikacji: EN

Abstrakty

EN

Unfortunately, eleven of our provinces were severely affected due to two severe earthquakes that occurred in our country, the Republic of Turkey, on February 6, 2023. As a result, thousands of buildings were destroyed and tens of thousands of our citizens lost their lives. From past to present, such disasters have occurred in many parts of our world and will continue to happen. In order to raise awareness for researchers and academicians reading our article, we will give a new definition of convexity in this article, and we will call it “earthquake convexity”. In this paper, we study some algebraic properties of the earthquake convexity. Then we compare the results obtained with both Hölder, Hölder-İşcan inequalities and power-mean, improved power-mean integral inequalities and show that the results obtained with Hölder-İşcan and improved powermean inequalities are better than the others. Some applications to special means of real numbers are also given.

Słowa kluczowe

EN

earthquake convexity; convex function; Hermite-Hadamard inequality; Hölder-İşcan inequality; improved power-mean inequalit

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2024
• Tom: Vol. 30, nr 1
• Strony: 63--73
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Kadakal Mahir

• Department of Customs Management, Faculty of Applied Sciences, Bayburt University, Baberti Campus, 69000 Bayburt, Türkiye

• https://orcid.org/0000-0002-0240-918X

autor

İşcan İmdat

• Department of Mathematics, Faculty of Arts and Sciences, Giresun University, 28200 Giresun, Türkiye

• https://orcid.org/0000-0001-6749-0591

autor

Kadakal Huriye

• Department of Customs Management, Faculty of Applied Sciences, Bayburt University, Baberti Campus, 69000 Bayburt, Türkiye

• https://orcid.org/0000-0002-0304-7192

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).