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Generalized Fractional Inequalities of the Hermite–Hadamard Type for Convex Stochastic Processes


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[1] J.E. Hernández and J.F. Gómez, Hermite–Hadamard type inequalities, convex stochastic processes and Katugampola fractional integral, Rev. Integr. Temas Mat. 36 (2018), no. 2, 133–149.10.18273/revint.v36n2-2018005Search in Google Scholar

[2] U.N. Katugampola, New fractional integral unifying six existing fractional integrals, arXiv preprint 2016. Avaliable at arXiv:1612.08596.Search in Google Scholar

[3] D. Kotrys, Hermite–Hadamard inequality for convex stochastic processes, Aequationes Math. 83 (2012), no. 1–2, 143–151.10.1007/s00010-011-0090-1Search in Google Scholar

[4] N. Mehreen and M. Anwar, Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex functions in the second sense with applications, J. Inequal. Appl. 2019, paper 92, 17 pp.10.1186/s13660-019-2047-1Search in Google Scholar

[5] K. Nikodem, On convex stochastic processes, Aequationes Math. 20 (1980), no. 2–3, 184–197.10.1007/BF02190513Search in Google Scholar

[6] N. Okur, I. Iscan, and E. Yuksek Dizdar, Hermite–Hadamard type inequalities for p-convex stochastic processes, Int. J. Optim. Control. Theor. Appl. IJOCTA 9 (2019), no. 2, 148–153.10.11121/ijocta.01.2019.00602Search in Google Scholar

[7] S. Özcan, Hermite–Hadamard type inequalities for exponentially p-convex stochastic processes, Sakarya Univ. J. Sci. 23 (2019), no. 5, 1012–1018.10.16984/saufenbilder.561040Search in Google Scholar

[8] M.Z. Sarıkaya, E. Set, H. Yaldiz, and N. Başak, Hermite–Hadamard’s inequalities for fractional integrals and related fractional inequalities, Math. Comput. Model. 57 (2013), no. 9–10, 2403–2407.10.1016/j.mcm.2011.12.048Search in Google Scholar

[9] M.Z. Sarıkaya, H. Yaldiz, and H. Budak, Some integral inequalities for convex stochastic processes, Acta Math. Univ. Comenian. (N.S.) 85 (2016), no. 1, 155–164.Search in Google Scholar

[10] E. Set, M. Tomar, and S. Maden, Hermite–Hadamard type inequalities for s-convex stochastic processes in the second sense, Turkish J. Anal. Number Theory 2 (2014), no. 6, 202–207.10.12691/tjant-2-6-3Search in Google Scholar

[11] E. Set, M.Z. Sarıkaya, and M. Tomar, Hermite–Hadamard type inequalities for coordinates convex stochastic processes, Math. Æterna. 5 (2015), no. 2, 363–382.Search in Google Scholar

[12] M. Tomar, E. Set, and S. Maden, Hermite–Hadamard type inequalities for log-convex stochastic processes, J. New Theory 2 (2015), 23–32.Search in Google Scholar

[13] M. Tomar, E. Set, and N.O. Bekar, Hermite–Hadamard type inequalities for strongly log-convex stochastic processes, J. Global Engineering Studies 1 (2014), no. 2, 53–61.Search in Google Scholar

eISSN:
2391-4238
ISSN:
0860-2107
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Inglés
Calendario de la edición:
2 veces al año
Temas de la revista:
Mathematics, General Mathematics