Article
Hermite-Hadamard type inequalities for šāconvex and šāconcave functions via fractional integrals
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Abstract
New identity for fractional integrals have been defined. By using this identity, some new Hermite- Hadamard type inequalities for Riemann-Liouville fractional integral have been developed. It has been determined that the results are related to the results of Avcı et al., proved in [4, published in Appl. Math. Comput., 217 (2011) 5171-5176].
Keywords
š āconvex function, Hƶlder inequality, Power-mean inequality, Riemann Liouville fractional.
Citation
ĆzdemiĢr, M. E., Avci-ArdiƧ, M., & Kavurmaci-Ćnalan, H. (2016). Hermite-hadamard type inequalities for šāconvex and šāconcave functions via fractional integrals. Turkish Journal of Science, 1(1), 28ā40. https://doi.org/10.66833/TJOS-2016-0004
M. E. ĆzdemiĢr, M. Avci-ArdiƧ and H. Kavurmaci-Ćnalan, “Hermite-hadamard type inequalities for šāconvex and šāconcave functions via fractional integrals,” Turkish Journal of Science, vol. 1, no. 1, pp. 28ā40, 2016, doi: 10.66833/TJOS-2016-0004.
ĆzdemiĢr ME, Avci-ArdiƧ M, Kavurmaci-Ćnalan H. Hermite-hadamard type inequalities for šāconvex and šāconcave functions via fractional integrals. Turkish Journal of Science. 2016;1(1):28ā40. doi:10.66833/TJOS-2016-0004.
ĆzdemiĢr, M. E., Avci-ArdiƧ, M. and Kavurmaci-Ćnalan, H. (2016), ‘Hermite-hadamard type inequalities for šāconvex and šāconcave functions via fractional integrals’, Turkish Journal of Science, 1(1), pp. 28ā40. Available at: https://doi.org/10.66833/TJOS-2016-0004.
ĆzdemiĢr, M. Emin, et al. “Hermite-hadamard Type Inequalities for šāconvex and šāconcave Functions via Fractional Integrals.” Turkish Journal of Science, vol. 1, no. 1, 2016, pp. 28ā40. https://doi.org/10.66833/TJOS-2016-0004.
ĆzdemiĢr, M. Emin, Merve Avci-ArdiƧ, and Havva Kavurmaci-Ćnalan. “Hermite-hadamard Type Inequalities for šāconvex and šāconcave Functions via Fractional Integrals.” Turkish Journal of Science 1, no. 1 (2016): 28ā40. https://doi.org/10.66833/TJOS-2016-0004.
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Published by: Engineering Journals
