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 in | TWMS journal of applied and engineering mathematics Vol. 11; no. 1; p. 20 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Istanbul
Turkic World Mathematical Society
01.01.2021
Elman Hasanoglu |
Subjects | |
Online Access | Get full text |
ISSN | 2146-1147 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. |
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Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
ISSN: | 2146-1147 2146-1147 |