Results 121 to 130 of about 2,031 (186)

Some Hardy's inequalities on conformable fractional calculus

Demonstratio Mathematica
In this article, we will demonstrate some Hardy’s inequalities by utilizing Hölder inequality, integration by parts, and chain rule of the conformable fractional calculus.
AlNemer Ghada, Saker Samir H., Ashry Gehad M., Zakarya Mohammed, Rezk Haytham M., Kenawy Mohammed R.   +5 more
doaj   +1 more source

Hermite-Hadamard-type inequalities for generalized trigonometrically and hyperbolic ρ-convex functions in two dimension

Open Mathematics
In this article, we establish Hermite-Hadamard-type inequalities for the two classes of functions X±λ(Ω)={f∈C2(Ω):Δf±λf≥0}{X}_{\pm \lambda }\left(\Omega )=\{f\in {C}^{2}\left(\Omega ):\Delta f\pm \lambda f\ge 0\}, where λ>0\lambda \gt 0 and Ω\Omega is ...
Dragomir Silvestru Sever, Jleli Mohamed, Samet Bessem   +2 more
doaj   +1 more source

Extension of Fejér's inequality to the class of sub-biharmonic functions

Open Mathematics
Fejér’s integral inequality is a weighted version of the Hermite-Hadamard inequality that holds for the class of convex functions. To derive his inequality, Fejér [Über die Fourierreihen, II, Math. Naturwiss, Anz. Ungar. Akad. Wiss.
Jleli Mohamed
doaj   +1 more source

Enhanced Young-type inequalities utilizing Kantorovich approach for semidefinite matrices

Open Mathematics
This article introduces new Young-type inequalities, leveraging the Kantorovich constant, by refining the original inequality. In addition, we present a range of norm-based inequalities applicable to positive semidefinite matrices, such as the Hilbert ...
Bani-Ahmad Feras, Rashid Mohammad Hussein Mohammad   +1 more
doaj   +1 more source

Some new results on convex sequences. [PDF]

J Inequal Appl, 2017
Bor H.
europepmc   +1 more source

Some notes about one inequality with power functions. [PDF]

J Inequal Appl, 2018
Matejíčka L.
europepmc   +1 more source

Simpson, midpoint, and trapezoid-type inequalities for multiplicatively s-convex functions

Demonstratio Mathematica
In this study, we establish new generalizations and results for Simpson, midpoint, and trapezoid-type integral inequalities within the framework of multiplicative calculus. We begin by proving a new identity for multiplicatively differentiable functions.
Özcan Serap
doaj   +1 more source

A Cauchy type inequality for Möbius operations. [PDF]

J Inequal Appl, 2018
Watanabe K.
europepmc   +1 more source

Different types of quantum integral inequalities via ( α , m ) -convexity. [PDF]

J Inequal Appl, 2018
Zhang Y, Du TS, Wang H, Shen YJ.
europepmc   +1 more source

Inequalities and asymptotic expansions related to the generalized Somos quadratic recurrence constant. [PDF]

J Inequal Appl, 2018
Ma XS, Chen CP.
europepmc   +1 more source