Authors:
Péter Kórus Department of Mathematics, Juhász Gyula Faculty of Education, University of Szeged, Hattyas utca 10, H-6725 Szeged, Hungary

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Luciano M. Lugo UNNE, FaCENA Ave. Libertad 5450, Corrientes 3400, Argentina

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Juan E. Nápoles Valdés UNNE, FaCENA Ave. Libertad 5450, Corrientes 3400, Argentina, UTN-FRRE, French 414, Resistencia, Chaco 3500, Argentina

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Abstract

In this paper we present different variants of the well-known Hermite–Hadamard inequality, in a generalized context. We consider general fractional integral operators for h-convex and r-convex functions.

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  • [2]

    Fleitas, A., Méndez, J. A., Nápoles Valdés, J. E., and Sigarreta, J. M., On fractional LiénardâĂŞtype systems, Rev. Mexicana Fís., 65(6), (2019), 618625.

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    Guzman, P. M., Langton, G., Lugo, L. M., Medina, J. and Nápoles Valdés, J. E., A new definition of a fractional derivative of local type, J. Math. Anal., 9(2), (2018), 8898.

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    Martínez, F., Mohammed, P. O. and Nápoles Valdés, J. E., Non-Conformable Fractional Laplace Transform, Kragujevac J. Math., 46(3), (2022), 341354.

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    Nápoles Valdés, J. E., Guzman, P. M. and Lugo, L. M., Some New Results on Nonconformable Fractional Calculus, Adv. Dyn. Syst. Appl., 13(2), (2018), 167175.

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    Nápoles Valdés, J. E., Guzman, P. M., Lugo, L. M. and Kashuri, A., The local generalized derivative and Mittag-Leffler function, Sigma Journal of Engineering and Natural Sciences, 38(2), (2020), 10071017.

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    Nápoles Valdés, J. E., Rodríguez, J. M. and Sigarreta, J. M., On Hermite-Hadamard type inequalities for non-conformable integral operators, Symmetry, 11(9), 1108 (2019).

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Editors in Chief

Gábor SIMONYI (Rényi Institute of Mathematics)
András STIPSICZ (Rényi Institute of Mathematics)
Géza TÓTH (Rényi Institute of Mathematics) 

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  • Károly BÖRÖCZKY (Rényi Institute of Mathematics and Central European University)
  • Péter CSIKVÁRI (ELTE, Budapest) 
  • Joshua GREENE (Boston College)
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  • Andreas HOLMSEN (Korea Advanced Institute of Science and Technology)
  • Ron HOLZMAN (Technion, Haifa)
  • Satoru IWATA (University of Tokyo)
  • Tibor JORDÁN (ELTE, Budapest)
  • Roy MESHULAM (Technion, Haifa)
  • Frédéric MEUNIER (École des Ponts ParisTech)
  • Márton NASZÓDI (ELTE, Budapest)
  • Eran NEVO (Hebrew University of Jerusalem)
  • János PACH (Rényi Institute of Mathematics)
  • Péter Pál PACH (BME, Budapest)
  • Andrew SUK (University of California, San Diego)
  • Zoltán SZABÓ (Princeton University)
  • Martin TANCER (Charles University, Prague)
  • Gábor TARDOS (Rényi Institute of Mathematics)
  • Paul WOLLAN (University of Rome "La Sapienza")

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Studia Scientiarum Mathematicarum Hungarica
Language English
French
German
Size B5
Year of
Foundation
1966
Volumes
per Year
1
Issues
per Year
4
Founder Magyar Tudományos Akadémia  
Founder's
Address
H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 0081-6906 (Print)
ISSN 1588-2896 (Online)