Integral inequalities for mappings whose derivatives are (h, m, s)-convex modied of second type via Katugampola integrals

B Bayraktar, JE Nápoles-Valdés - Annals of the University of Craiova …, 2022 - inf.ucv.ro
In this paper, using the definition of functions (h, m, s)-convex modified of second type,
various extensions of the classic Hermite-Hadamard Inequality are obtained using …

Exploration of Hermite–Hadamard-Type Integral Inequalities for Twice Differentiable h-Convex Functions

M Vivas-Cortez, M Samraiz, MT Ghaffar, S Naheed… - Fractal and …, 2023 - mdpi.com
The significance of fractional calculus cannot be underestimated, as it plays a crucial role in
the theory of inequalities. In this paper, we study a new class of mean-type inequalities by …

[PDF][PDF] Some Hermite-Hadamard weighted integral inequalities for (h, m)-convex modified functions

M Vivas-Cortez, JEN Valdés… - Appl. Math. Inf …, 2022 - digitalcommons.aaru.edu.jo
Some Hermite-Hadamard Weighted Integral Inequalities for (h,m)-Convex Modified Functions
Page 1 Appl. Math. Inf. Sci. 16, No. 1, 25-33 (2022) 25 Applied Mathematics & Information …

Some New Quantum Hermite-Hadamard Type Inequalities for s-Convex Functions

G Gulshan, H Budak, R Hussain, K Nonlaopon - Symmetry, 2022 - mdpi.com
In this investigation, we first establish new quantum Hermite–Hadamard type integral
inequalities for s-convex functions by utilizing newly defined T q-integrals. Then, by using …

Some refinements of the Hermite–Hadamard inequality with the help of weighted integrals

B Bayraktar, JE Nápoles, F Rabossi - Ukrainian Mathematical Journal, 2023 - Springer
By using the definition of modified (h, m, s)-convex functions of the second type, we present
various refinements of the classical Hermite–Hadamard inequality obtained within 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 …

Hermite-Hadamard type inequalities via weighted integral operators

P Kórus, JEN Valdés, MNQ Cubillos - Proyecciones (Antofagasta), 2023 - SciELO Chile
In this paper, we consider general convex functions of various type. We establish some new
integral inequalities of Hermite-Hadamard type for (h, s, m)-convex and (h, m)-convex …

[PDF][PDF] Some new fractional integral inequalities for harmonically h− convex functions via Caputo k-fractional derivatives

R Hussain, A Ali, A Ayub, A Latif - Bull. Int. Math. Virtual Inst, 2021 - imvibl.org
In present paper some Hermite-Hadamard type inequalities for harmonically h-convex
functions via Caputo k-fractional derivatives are established. Moreover, some corresponding …

[PDF][PDF] SOME REFINEMENTS OF THE HERMITE–HADAMARD INEQUALITY WITH THE HELP OF WEIGHTED INTEGRALS ДЕЯКI УТОЧНЕННЯ НЕРIВНОСТI …

B Bayraktar, JE Nápoles, F Rabossi - researchgate.net
By using the definition of modified (h, m, s)-convex functions of the second type, we present
various refinements of the classical Hermite–Hadamard inequality obtained within the …

[PDF][PDF] Some New Quantum Hermite-Hadamard Type Inequalities for s-Convex Functions. Symmetry 2022, 14, 870

G Gulshan, H Budak, R Hussain, K Nonlaopon - 2022 - academia.edu
In this investigation, we first establish new quantum Hermite–Hadamard type integral
inequalities for s-convex functions by utilizing newly defined Tq-integrals. Then, by using …