Hermite-Hadamard and Ostrowski type inequalities in h-calculus with applications

Hermite-Hadamard and Ostrowski type inequalities in h-calculus with applications

In this paper, we prove Hermite-Hadamard inequality for convex functions in the framework of h-calculus. We also use the notions of h-derivative and h-integral to prove Ostrowski's and trapezoidal type inequalities for bounded functions. It is also shown that the newly established inequalities...

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Xehetasun bibliografikoak
Egile Nagusiak: Miguel Vivas-Cortez, Muhammad Aamir Ali, Ghulam Murtaza, Ifra Bashir Sial
Formatua: Artikulua
Hizkuntza:English
Argitaratua: AIMS Press 2022-01-01
Saila:AIMS Mathematics
Gaiak:
hermite-hadamard inequality
ostrowski inequality
h -integral
quantum calculus
convex functions
Sarrera elektronikoa:https://www.aimspress.com/article/doi/10.3934/math.2022393?viewType=HTML

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