Yazar "Feckan, Michal" seçeneğine göre listele

Listeleniyor 1 - 3 / 3
  • Küçük Resim Yok
    Öğe
    Fractional Hermite-Hadamard inequality and error estimates for Simpson's formula through convexity with respect to a pair of functions
    (Univ Miskolc Inst Math, 2023) Ali, Muhammad Aamir; Soontharanon, Jarunee; Budak, Huseyin; Sitthiwirattham, Thanin; Feckan, Michal
    In this article, we establish two new and different versions of fractional HermiteHadamard type inequality for the convex functions with respect to a pair of functions. Moreover, we establish a new Simpson's type inequalities for differentiable convex functions with respect to a pair of functions. We also prove two more Simpson's type inequalities for differentiable convex functions with respect to a pair of functions using the power mean and Ho & BULL;lder's inequalities. It is also shown that the newly established inequalities are the extension of some existing results. Finally, we add some mathematical examples and their graphs to show the validity of newly established results.
  • Küçük Resim Yok
    Öğe
    Fractional Hermite-Hadamard inequality, Simpson's and Ostrowski's type inequalities for convex functions with respect to a pair of functions
    (Rocky Mt Math Consortium, 2023) Xie, Jianqiang; Ali, Muhammad Aamir; Budak, Huseyin; Feckan, Michal; Sitthiwirattham, Thanin
    We consider the convexity with respect to a pair of functions and establish a Hermite-Hadamard type inequality for Riemann-Liouville fractional integrals. Moreover, we derive some new Simpson's and Ostrowski's type inequalities for differentiable convex mapping with respect to a pair of functions. We also show that the newly established inequalities are the extension of some existing inequalities. Finally, we consider some mathematical examples and graphs to show the validity of the newly established inequalities.
  • Küçük Resim Yok
    Öğe
    A new version of q-Hermite-Hadamard's midpoint and trapezoid type inequalities for convex functions
    (Walter De Gruyter Gmbh, 2023) Ali, Muhammad Aamir; Budak, Huseyin; Feckan, Michal; Khan, Sundas
    In this paper, we establish a new variant of q-Hermite-Hadamard inequality for convex functions via left and right q-integrals. Moreover, we prove some new q-midpoint and q-trapezoid type inequalities for left and right q-differentiable functions. To illustrate the newly established inequalities, we give some particular examples of convex functions.