Results 21 to 30 of about 147 (123)

A new variant of Jensen inclusion and Hermite-Hadamard type inclusions for interval-valued functions [PDF]

, 2023
In this research, we give a new version of Jensen inclusion for interval-valued functions, which is called Jensen-Mercer inclusion. Moreover, we establish some new inclusions of the Hermite-Hadamard-Mercer type for interval-valued functions.
Sitthiwirattham, Thanin, Ali, Muhammad Aamir, Reunsumrit, J., Sial, I.B., Budak, Hüseyin   +4 more
core   +1 more source

Some new estimates for Fej´er type inequalities in quantum analysis [PDF]

, 2017
In this paper we derive some new quantum estimates of Fej´er type inequalities which involve Riemann type of quantum integrals via some classes of convex functions.
RIAHI, Latifa, AWAN , Muhammad Uzair, BRAHIM, Kamel   +2 more
core   +1 more source

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

, 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, Sitthiwirattham, Thanin, Patanarapeelert, N., Budak, Hüseyin, Fe?kan, M.   +4 more
core   +1 more source

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

Demonstratio 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, Noor Muhammad Aslam, Macías-Díaz Jorge E., Soliman Mohamed S., Zaini Hatim Ghazi   +4 more
doaj   +1 more source

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

Open 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

Numerical Investigation of Fractional Third-Order Differential Equation Using Quartic B-Spline Functions

Advances in Mathematical Physics
MSC2020 Classification: 39A12, 39B62, 33B10, 26A48, 26A51.
Syeda Alishba Batool, Muhammad Abbas, Madiha Shafiq, Y. S. Hamed, Asnake Birhanu   +4 more
doaj   +1 more source

On a Separation Theorem for Delta-Convex Functions

Annales Mathematicae Silesianae, 2020
In the present paper we establish necessary and sufficient conditions under which two functions can be separated by a delta-convex function. This separation will be understood as a separation with respect to the partial order generated by the Lorentz ...
Olbryś Andrzej
doaj   +1 more source

On a Sharp Fractional Integrals Inequality

International 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, Mohsen Kian, Shikha Binwal   +2 more
wiley   +1 more source

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

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

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

, 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   +1 more source