Some new beta integral inequalities

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UÇAR D.

Transactions Issue Mathematics, Azerbaijan National Academy of Sciences, vol.40, no.4, pp.182-187, 2020 (Scopus)

• Publication Type: Article / Article
• Volume: 40 Issue: 4
• Publication Date: 2020
• Journal Name: Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
• Journal Indexes: Scopus
• Page Numbers: pp.182-187
• Keywords: Beta-integral, Chebyschev’s inequality, Hermite-Hadamard inequality
• Uşak University Affiliated: Yes

Abstract

In this paper we consider the derivative with a new parameter called beta-derivative. Using this calculus, we prove Chebyschev’s integral inequality and obtain a new type of Hermite-Hadamard inequality.