Research Article

HADAMARD AND FEJER-HADAMARD INEQUALITIES FOR GENERALIZED FRACTIONAL INTEGRALS INVOLVING SPECIAL FUNCTIONS

Volume: 4 Number: 1 April 1, 2016
EN

HADAMARD AND FEJER-HADAMARD INEQUALITIES FOR GENERALIZED FRACTIONAL INTEGRALS INVOLVING SPECIAL FUNCTIONS

Abstract

Fractional calculus is as important as calculus. This paper is due to presentation of Hadamard and Fejer-Hadamard inequalities for fractional calculus. We prove Hadamard and Fejer-Hadamard inequalities for general- ized fractional integral involving Mittag-Lefter function. Also, inequalities for special cases are obtained.

Keywords

References

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  7. [7] S. S. Dragomir, C. E. M. Pearce, Selected topics on Hermite-Hadamard inequalities and applications, RGMIA Monographs, Victoria University, 2000. Math. Sic. Marh. Roum., 47 (2004), 3-14.
  8. [8] G. Farid, J. Pecaric and Z. Tomovski, Opial-type inequalities for fractional integral operator involving Mittag-Leer function, Fractional Di er. Calc., Vol. 5 , No. 1 (2015), 93-106.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

G. Farıd *
Pakistan

Publication Date

April 1, 2016

Submission Date

July 10, 2014

Acceptance Date

-

Published in Issue

Year 2016 Volume: 4 Number: 1

APA
Farıd, G. (2016). HADAMARD AND FEJER-HADAMARD INEQUALITIES FOR GENERALIZED FRACTIONAL INTEGRALS INVOLVING SPECIAL FUNCTIONS. Konuralp Journal of Mathematics, 4(1), 108-113. https://izlik.org/JA93LG67YE
AMA
1.Farıd G. HADAMARD AND FEJER-HADAMARD INEQUALITIES FOR GENERALIZED FRACTIONAL INTEGRALS INVOLVING SPECIAL FUNCTIONS. Konuralp J. Math. 2016;4(1):108-113. https://izlik.org/JA93LG67YE
Chicago
Farıd, G. 2016. “HADAMARD AND FEJER-HADAMARD INEQUALITIES FOR GENERALIZED FRACTIONAL INTEGRALS INVOLVING SPECIAL FUNCTIONS”. Konuralp Journal of Mathematics 4 (1): 108-13. https://izlik.org/JA93LG67YE.
EndNote
Farıd G (April 1, 2016) HADAMARD AND FEJER-HADAMARD INEQUALITIES FOR GENERALIZED FRACTIONAL INTEGRALS INVOLVING SPECIAL FUNCTIONS. Konuralp Journal of Mathematics 4 1 108–113.
IEEE
[1]G. Farıd, “HADAMARD AND FEJER-HADAMARD INEQUALITIES FOR GENERALIZED FRACTIONAL INTEGRALS INVOLVING SPECIAL FUNCTIONS”, Konuralp J. Math., vol. 4, no. 1, pp. 108–113, Apr. 2016, [Online]. Available: https://izlik.org/JA93LG67YE
ISNAD
Farıd, G. “HADAMARD AND FEJER-HADAMARD INEQUALITIES FOR GENERALIZED FRACTIONAL INTEGRALS INVOLVING SPECIAL FUNCTIONS”. Konuralp Journal of Mathematics 4/1 (April 1, 2016): 108-113. https://izlik.org/JA93LG67YE.
JAMA
1.Farıd G. HADAMARD AND FEJER-HADAMARD INEQUALITIES FOR GENERALIZED FRACTIONAL INTEGRALS INVOLVING SPECIAL FUNCTIONS. Konuralp J. Math. 2016;4:108–113.
MLA
Farıd, G. “HADAMARD AND FEJER-HADAMARD INEQUALITIES FOR GENERALIZED FRACTIONAL INTEGRALS INVOLVING SPECIAL FUNCTIONS”. Konuralp Journal of Mathematics, vol. 4, no. 1, Apr. 2016, pp. 108-13, https://izlik.org/JA93LG67YE.
Vancouver
1.G. Farıd. HADAMARD AND FEJER-HADAMARD INEQUALITIES FOR GENERALIZED FRACTIONAL INTEGRALS INVOLVING SPECIAL FUNCTIONS. Konuralp J. Math. [Internet]. 2016 Apr. 1;4(1):108-13. Available from: https://izlik.org/JA93LG67YE
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