Results 21 to 30 of about 206 (173)

On some Newton’s type inequalities for differentiable convex functions via Riemann-Liouville fractional integrals [PDF]

open access: yes, 2023
In this paper, we establish a new integral identity involving Riemann-Liouville fractional integrals and differentiable functions. Then, we use the newly established identity and prove several Newton’s type inequalities for differentiable convex ...
Ali, Muhammad Aamir   +6 more
core   +1 more source

Ostrowski type fractional integral operators for generalized (r; g, s, m, ϕ)-preinvex functions [PDF]

open access: yes, 2018
In the present paper, the notion of generalized (r; g, s, m, ϕ)-preinvex function is applied for establish some new generalizations of Ostrowski type in- equalities via fractional integral operators.
LIKO, Rozana, KASHURI, Artion
core   +2 more sources

Different type parameterized inequalities via generalized integral operators with applications

open access: yes, 2021
The authors have proved an identity for a generalized integral operator via differentiable function with parameters. By applying the established identity, the generalized trapezium, midpoint and Simpson type integral inequalities have been discovered. It
LIKO, Rozana, KASHURI, Artion
core   +1 more source

Some integral inequalities for generalized left and right log convex interval-valued functions based upon the pseudo-order relation

open access: yesDemonstratio Mathematica, 2022
It is a well-known fact that inclusion and pseudo-order relations are two different concepts which are defined on the interval spaces, and we can define different types of convexities with the help of both relations.
Khan Muhammad Bilal   +4 more
doaj   +1 more source

Hermite-Hadamard type fractional integral inequalities for MT(m,ϕ)-preinvex functions [PDF]

open access: yes, 2017
In the present paper, a new class of MT(m,ϕ)-preinvex functions is in- troduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving MT(m,ϕ)-preinvex functions are given.
LIKO, Rozana, KASHURI, Artion
core   +2 more sources

New integral inequalities of Hermite–Hadamard type in a generalized context

open access: yes, 2021
In this paper, we obtained new integral inequalities of theHermite–Hadamard type for convex and quasi–convex functions in a generalizedcontext.AMS (MOS) Subject Classification Codes:26D10, 26A51, 39B62, 26A33Key Words: Hermite–Hadamard ...
Juan Eduardo Napoles Valdes; UNNE, FaCENA, Ave. Libertad 5450, Corrientes 3400   +2 more
core  

Schur-power convexity of integral mean for convex functions on the coordinates

open access: yesOpen Mathematics, 2023
In this article, we investigate the concepts of monotonicity, Schur-geometric convexity, Schur-harmonic convexity, and Schur-power convexity for the lower and upper limits of the integral mean, focusing on convex functions on coordinate axes. Furthermore,
Shi Huannan, Zhang Jing
doaj   +1 more source

On a Sharp Fractional Integrals Inequality

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This paper establishes a new class of sharp trapezoidal‐type inequalities for absolutely continuous functions whose derivatives belong to L2([a, b]). By employing the generalized Chebyshev functional and the framework of Riemann–Liouville fractional integrals, we derive an identity that characterizes the difference between the average of function ...
Mohsen Rostamian Delavar   +2 more
wiley   +1 more source

Some Completely Monotonic Properties for the (p, g)-Gamma Function [PDF]

open access: yes, 2012
MSC 2010: 33B15, 26A51 ...
Merovci, Faton, Krasniqi, Valmir
core  

Ostrowski-type fractional integral inequalities for mappings whose derivatives are h-convex via Katugampola fractional integrals

open access: yes, 2018
In this paper we generalize some Riemann-Liouville fractional integral inequalities of Ostrowski-type for h-convex functions via Katugampola fractional integrals, generalizations of the Riemann-Liouville and the Hadamard fractional integrals.
KATUGAMPOLA, Udita N.   +2 more
core   +1 more source

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