New generalized trapezoidal type integral inequalities with applications

• Autorzy: Kashuri Artion , Farid Ghulam , Set Erhan

Identyfikatory

DOI

10.1515/jaa-2020-2028

• Języki publikacji: EN

Abstrakty

EN

Trapezoidal inequalities for functions of diverse nature are useful in numerical computations. The authors have proved an identity for a generalized integral operator via a differentiable function. By applying the established identity, the generalized trapezoidal type integral inequalities have been discovered. It is pointed out that the results of this research provide integral inequalities for almost all fractional integrals discovered in the recent decades. Various special cases have been identified. Some applications of presented results have been analyzed.

Słowa kluczowe

EN

Hermite-Hadamard inequality; preinvexity; general fractional integrals

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2021
• Tom: Vol. 27, nr 1
• Strony: 35--46
• Opis fizyczny: Bibliogr. 37 poz.

Twórcy

autor

Kashuri Artion

• Department of Mathematics, Faculty of Technical Science, University Ismail Qemali, Vlora, Albania

autor

Farid Ghulam

• COMSATS University Islamabad, Attock Campus, Attock 43600, Pakistan

autor

Set Erhan

• Department of Mathematics, Faculty of Science and Arts, Ordu University, Ordu, Turkey

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021)