SOME FRACTIONAL ESTIMATES OF UPPER BOUNDS INVOLVING FUNCTIONS HAVING EXPONENTIAL CONVEXITY PROPERTY

The main objective of this article is to consider the class of exponentially convex functions. We derive a new integral identity involving Riemann-Liouville fractional integral. Utilizing this identity as an auxiliary result we obtain new fractional bounds involving the functions having exponential...

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Published inTWMS journal of applied and engineering mathematics Vol. 11; no. 1; p. 20
Main Authors Rashid, S, Noor, M.A, Akdemir, A.O, Noor, K.I
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.01.2021
Elman Hasanoglu
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ISSN2146-1147
2146-1147

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Summary:The main objective of this article is to consider the class of exponentially convex functions. We derive a new integral identity involving Riemann-Liouville fractional integral. Utilizing this identity as an auxiliary result we obtain new fractional bounds involving the functions having exponential convexity property. Keywords: Convex functions, exponential convex functions, Hermite-Hadamard inequality, Riemann-Liouville fractional integral. AMS Subject Classification: 26A51, 26D15, 26A33.
Bibliography:ObjectType-Article-1
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ISSN:2146-1147
2146-1147