Some new Bullen-type inequalities obtained via fractional integral operators

A Fahad, SI Butt, B Bayraktar, M Anwar, Y Wang - Axioms, 2023 - mdpi.com
In this paper, we establish a new auxiliary identity of the Bullen type for twice-differentiable
functions in terms of fractional integral operators. Based on this new identity, some …

[HTML][HTML] NEW GENERALIZED INTEGRAL INEQUALITIES VIA -CONVEX MODIFIED FUNCTIONS

B Bahtiyar, NVJ Eduardo - Известия Института математики и …, 2022 - cyberleninka.ru
NEW GENERALIZED INTEGRAL INEQUALITIES VIA $(h,m)$-CONVEX MODIFIED
FUNCTIONS – тема научной статьи по математике читайте бесплатно текст научно-исследовательской …

[PDF][PDF] On the Hermite-Hadamard type inequalities involving generalized integrals

JEN Valdés - Contrib. Math, 2022 - shahindp.com
On the Hermite-Hadamard type inequalities involving generalized integrals 1. Introduction Page
1 Contributions to Mathematics www.shahindp.com/locate/cm Contrib. Math. 5 (2022) 45–51 DOI …

Symmetrical Hermite–Hadamard type inequalities stemming from multiplicative fractional integrals

Y Peng, S Özcan, T Du - Chaos, Solitons & Fractals, 2024 - Elsevier
We firstly study∗ integrability and commutativity for multiplicative fractional integrals with
exponential kernels, proposed by Peng et al.(2022). Secondly, making use of such …

[HTML][HTML] Integral inequalities of Simpson type via weighted integrals

MNQ Cubillos, B Bayraktar - Проблемы анализа, 2023 - cyberleninka.ru
INTEGRAL INEQUALITIES OF SIMPSON TYPE VIA WEIGHTED INTEGRALS – тема
научной статьи по математике читайте бесплатно текст научно-исследовательской …

New extensions of Hermite-Hadamard inequality using k− fractional Caputo derivatives

JE Nápoles, B Bayraktar - Advanced Studies: Euro-Tbilisi …, 2023 - projecteuclid.org
By means of Caputo k− fractional derivatives, in this work, we obtain new extensions of the
Hermite-Hadamard inequality for modified (h, m)− convex functions of the second type. At …

Some New Estimates for Integral Inequalities and Their Applications

B Bayraktar, SI Butt, JE Napoles, F Rabossi - Ukrainian Mathematical …, 2024 - Springer
We obtain several new integral inequalities in terms of fractional integral operators for the
functions whose first derivatives satisfy either the conditions of the Lagrange theorem or the …

[PDF][PDF] New extensions of Hermite–Hadamard inequality

PM Guzmán, JEN Valdés, V Stojiljkovic - Contrib. Math, 2023 - researchgate.net
Some new results related to generalized Hermite-Hadamard-type inequalities are
established. For obtaining new inequalities, various approaches are utilized, including …

Concerning the generalized Hermite-Hadamard integral inequality

J Galeano, JEN Valdés, EP Reyes - Sigma Journal of Engineering …, 2023 - dergipark.org.tr
In the work we obtain some Hermite-Hadamard type inequalities for generalized fractional
integrals for convex functions by employing a fractional integral operator, establishing, firstly …

Novel Ostrowski type inequalities via exponentially (m1, m2)− convex functions and their applications

SI Butt, B Bayraktar, J Nasir - Annals of the University of Craiova …, 2024 - inf.ucv.ro
In this work, we introduce and explore the new concept of convexity class, namely
exponential (m1, m2)− convex functions along with some examples. In extension, we …