Results 11 to 20 of about 2,803 (176)

New fractional integral inequalities via Euler's beta function

Open Mathematics, 2023
In this article, we present new fractional integral inequalities via Euler’s beta function in terms of ss-convex mappings. We develop some new generalizations of fractional trapezoid- and midpoint-type inequalities using the class of differentiable ss ...
Almutairi Ohud Bulayhan
doaj   +1 more source

On Hermite-Hadamard type inequalities for multiplicative fractional integrals

Miskolc Mathematical Notes, 2020
In this study, we first establish two Hermite-Hadamard type inequality for multiplicative (geometric) Riemann-Liouville fractional integrals. Then, by using some properties of multiplicative convex function, we give some new inequalities involving ...
H. Budak, K. Özçelik
semanticscholar   +1 more source

On post quantum integral inequalities

Journal of Mathematical Inequalities, 2021
In the article, we provide some new post quantum refinements of the Hermite-Hadamard like inequalities involving the class of h -preinvex functions by establishing a new auxiliary result involving the post quantum differentiable function.
M. U. Awan, Sadia Talib, M. Noor, K. Noor, Yuming Chu   +4 more
semanticscholar   +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

Some mixed weak type inequalities

Journal of Mathematical Inequalities, 2021
. We study mixed weak type (1,1) weighted inequalities for the Hardy averaging opera- tor, T . This type of have the where C is independent of f and c . We improve the results in [Q. J. Math. 60 (2009), no.
M. Lorente, F. J. Martín-Reyes
semanticscholar   +1 more source

On local fractional integral inequalities via generalized (h˜1,h˜2)\left({\tilde{h}}_{1},{\tilde{h}}_{2})-preinvexity involving local fractional integral operators with Mittag-Leffler kernel

Demonstratio Mathematica, 2023
Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities.
Vivas-Cortez Miguel, Bibi Maria, Muddassar Muhammad, Al-Sa’di Sa’ud   +3 more
doaj   +1 more source

A new note on factored infinite series and trigonometric Fourier series

, 2021
In this paper, we have proved two main theorems under more weaker conditions dealing with absolute weighted arithmetic mean summability factors of infinite series and trigonometric Fourier series.
H. Bor
semanticscholar   +1 more source

Refinement of the Jensen integral inequality

Open Mathematics, 2016
In this paper we give a refinement of Jensen’s integral inequality and its generalization for linear functionals. We also present some applications in Information Theory.
Sever Dragomir Silvestru, Adil Khan Muhammad, Abathun Addisalem   +2 more
doaj   +1 more source

Refinement of Jensen Mercer and Hermite–Hadamard-Mercer type inequalities for generalized convex functions on co-ordinates with their computational analysis

Annals of Mathematics and Physics
In the current study, the Jensen-Mercer inequality is extended to co-ordinated h-convex functions. Additionally, a novel inequality is employed to derive Hermite–Hadamard-Mercer type inequalities for h-convex functions defined on the co-ordinates of a ...
Toseef Muhammad, Zhiyue Zhang, Mateen Abdul, Budak Hüseyin, Kashuri Artion   +4 more
semanticscholar   +1 more source

On boundedness and compactness of a certain class of kernel operators

Journal of Function Spaces, Volume 9, Issue 1, Page 67-107, 2011., 2011
New conditions for Lp[0, ∞) − Lq[0, ∞) boundedness and compactness (1 < p, q < ∞) of the map f→w(x)∫a(x)b(x)k(x,y)f(y)v(y)dy with locally integrable weight functions v, w and a positive continuous kernel k(x, y) from the Oinarov’s class are obtained.
Elena P. Ushakova, Oleg V. Besov
wiley   +1 more source