Publications - Mihály Bessenyei

Referált folyóiratcikkek

  1. Generalized fractals in semimetric spaces
    submitted (with Evelin Pénzes)
  2. A convex analysis view of the barrier problem
    submitted (with Norbert Tóth)
  3. Fractals for (almost) everyone
    submitted (with Gréta Tóth)
  4. A sandwich with segment convexity
    Journal of Mathematical Analysis and Applications 500 (2021), no. 1, art.125108 (with Dávid Kertész and Dr. Rezső László Lovas)
  5. Applications of the Bielecki renorming technique
    Journal of Fixed Point Theory and Applications 23 (2021) art.15 (with Zsolt Páles)
  6. Hutchinson without Blaschke: An alternative way to fractals
    Expositiones Mathematicae 39 (2021), no. 1, 25–32. (with Evelin Pénzes)
  7. Fractals for minimalists
    Aequationes Mathematicae 94 (2020), 595–603. (with Evelin Pénzes)
  8. Generalized monotonicity in terms of differential inequalities
    Proceedings of the Royal Society of Edinburgh Sect. A 149 (2019), no. 6, 1473–1479.
  9. Axiomatic and algebraic convexity of regular pairs
    Journal of Geometry 109 (2018), no. 1, art 24, 7pp.
  10. Higher-order quasimonotonicity and integral inequalities
    Mathematical Inequalities and Applications 21 (2018), no. 3, 897–909. (with Evelin Pénzes)
  11. The affine separation problem revisited
    Indagationes Mathematicae (N. S.) 29 (2018), no. 3, 873–877.
  12. Separation problems in the context of h-convexity
    Journal of Convex Analysis 25 (2018), no. 4, 1033–1043. (with Evelin Pénzes)
  13. A functional equation view of an addition rule
    Mathematics Magazine 91 (2018), no. 1, 37–41. (with Gréta Szabó)
  14. Convex structures induced by Chebyshev systems
    Indagationes Mathematicae (N. S.) 28 (2017), no. 6, 1126–1133. (with Anna Bella Popovics)
  15. Linear functional equations involving finite substitutions
    Acta Scientiarum Mathematicarum (Szeged) 83 (2017), 71–81. (with Ágnes Konkoly and Gréta Szabó)
  16. A contraction principle in semimetric spaces
    Journal of Nonlinear and Convex Analysis 18 (2017), no. 3, 515–524. (with Zsolt Páles)
  17. Convexity with respect to Beckenbach families
    Journal of Convex Analysis 24 (2017), no. 1, 75–92. (with Ágnes Konkoly and Anna Bella Popovics)
  18. Convexity without convex combinations
    Journal of Geometry 107 (2016), no. 1, 77–88. (with Anna Bella Popovics)
  19. The contraction principle in extended context
    Publicationes Mathematicae (Debrecen) 89 (2016), no. 3, 287–295.
  20. Nonlinear quasicontractions in complete metric spaces
    Expositiones Mathematicae 33 (2015), no. 4, 517–525.
  21. Separation by convex interpolation families
    Journal of Convex Analysis 20 (2013), no.4, 937–946. (with Patrícia Szokol)
  22. Convex separation by regular pairs
    Journal of Geometry 14 (2013), no.1, 45–56. (with Patrícia Szokol)
  23. Solving functional equations via finite substitutions
    Aequationes Mathematicae 85 (2013), no.3, 593–600. (with Csaba Gábor Kézi)
  24. Functional equations on finite groups of substitutions
    Expositiones Mathematicae 30 (2012), no.3, 283–294. (with Gábor Horváth and Csaba Gábor Kézi)
  25. Separation by linear interpolation families
    Journal of Nonlinear and Convex Analysis 13 (2012), no.1, 49–56. (with Zsolt Páles)
  26. Functional equations and group substitutions
    Linear Algebra and its Applications 434 (2011), no.6, 1525–1531. (with Csaba Gábor Kézi)
  27. Functional equations and finite groups of substitutions
    The American Mathematical Monthly 117 (2010), no.10, 921–927.
  28. Characterizations of higher-order monotonicity via integral inequalities
    Proceedings of the Royal Society of Edinburgh Sect. A 140 (2010), 723–736. (with Zsolt Páles)
  29. The Hermite–Hadamard inequality in Beckenbach's setting
    Journal of Mathematical Analalysis and its Applications 364 (2010), no.2, 366–383.
  30. The Hermite–Hadamard inequality on simplices
    The American Mathematical Monthly 115 (2008), no.4, 339–345.
  31. Hermite–Hadamard-type inequalities for generalized convex functions
    Journal of Inequalalities in Pure and Applied Mathematics 9 (2008), no.3, art.63, 51pp.
  32. Characterization of convexity via Hadamard's inequality
    Mathematical Inequalities and Applications 9 (2006), no.1, 53–62. (with Zsolt Páles)
  33. Hermite–Hadamard inequalities for generalized convex functions
    Aequationes Mathematicae 69 (2005), 32–40. (with Zsolt Páles)
  34. Hermite–Hadamard-type inequalities for generalized 3-convex functions
    Publicationes Mathematicae (Debrecen) 65 (2004), no.1-2, 223–232.
  35. On generalized higher-order convexity and Hermite–Hadamard-type inequalities
    Acta Scientiarum Mathematicarum (Szeged) 70 (2004), 13–24. (with Zsolt Páles)
  36. Hadamard-type inequalities for generalized convex functions
    Mathematical Inequalities and Applications 6 (2003), no.3, 379–392. (with Zsolt Páles)
  37. Higher-order generalizations of Hadamard's inequality
    Publicationes Mathematicae (Debrecen) 61 (2002), no.3-4, 623–643. (with Zsolt Páles)

Értekezések, összefoglaló munkák

  1. Finsler-sokaságok metrikus struktúrájáról
    diplomamunka (M.Sc.); témavezető: Dr. Szilasi József, 2000.
  2. Hermite–Hadamard-type inequalities for generalized convex functions
    doktori értekezés (Ph.D.); témavezető: Dr. Páles Zsolt, 2004.
  3. Inequalities and separation theorems for generalized convex functions
    habilitációs értekezés (Habil.) 2011.
  4. Cantate Domino! Intonációk a református énekeskönyv egyes darabjaihoz
    Lektorálták: Dr. Gárdonyi Zsolt (Würzburg), Dr. Kovács Szilárd (Debrecen) 2013.
  5. Kábelrakás kis költséggel
    Középiskolai Matematikai és Fizikai Lapok 67 (2017) 130-140. (Szabó Grétával)
  6. Monoton leképezések fixpont tulajdonságai 1
    Középiskolai Matematikai és Fizikai Lapok 70 (2020) 141–146. (Pénzes Evelinnel)
  7. Monoton leképezések fixpont tulajdonságai 2
    Középiskolai Matematikai és Fizikai Lapok 70 (2020) 328–333. (Pénzes Evelinnel)
Last update: 2023. 09. 05. 09:33