Results 1 to 10 of about 222 (170)

Extensions of Simpson’s Inequality via Nonnegative Weight Functions and Fractional Operators [PDF]

open access: yesAdvances in Mathematical Physics, 2023
MSC2020 Classification: 26A09, 26D10, 26D15 ...
Hasan Öğünmez, Mehmet Zeki Sarikaya
doaj   +5 more sources

Philebus 23c-26d: Peras, Apeiron, and Meikton as Measure Theory

open access: yesPlato, 2021
At Philebus 23c4-26d10 Socrates makes a division into three kinds: Unbounded (apeiron), Bound (peras), and Mix (meikton). I review problems for the main interpretations of Unbounded and Mix and review kinds of scales defined in abstract measurement ...
George Rudebusch
doaj   +3 more sources

An improved Hardy type inequality on Heisenberg group

open access: yesJournal of Inequalities and Applications, 2011
Motivated by the work of Ghoussoub and Moradifam, we prove some improved Hardy inequalities on the Heisenberg group ℍ n via Bessel function.
Xiao Ying-Xiong
doaj   +2 more sources

Anisotropic Picone identities and anisotropic Hardy inequalities. [PDF]

open access: yesJ Inequal Appl, 2017
In this paper, we derive an anisotropic Picone identity for the anisotropic Laplacian, which contains some known Picone identities. As applications, a Sturmian comparison principle to the anisotropic elliptic equation and an anisotropic Hardy type ...
Feng T, Cui X.
europepmc   +2 more sources

One-dimensional differential Hardy inequality. [PDF]

open access: yesJ Inequal Appl, 2017
We establish necessary and sufficient conditions for the one-dimensional differential Hardy inequality to hold, including the overdetermined case. The solution is given in terms different from those of the known results.
Kalybay A.
europepmc   +2 more sources

Some new nonlinear retarded sum-difference inequalities with applications [PDF]

open access: yesAdvances in Difference Equations, 2011
The main objective of this paper is to establish some new retarded nonlinear sum-difference inequalities with two independent variables, which provide explicit bounds on unknown functions.
Li Zizun, Cheung Wing-Sum, Wang Wu-Sheng
doaj   +1 more source

Some means inequalities for positive operators in Hilbert spaces. [PDF]

open access: yesJ Inequal Appl, 2017
In this paper, we obtain two refinements of the ordering relations among Heinz means with different parameters via the Taylor series of some hyperbolic functions and by the way, we derive new generalizations of Heinz operator inequalities.
Liang J, Shi G.
europepmc   +2 more sources

On some new Hermite-Hadamard and Ostrowski type inequalities for s-convex functions in (p, q)-calculus with applications

open access: yesOpen Mathematics, 2022
In this study, we establish some new Hermite-Hadamard type inequalities for s-convex functions in the second sense using the post-quantum calculus. Moreover, we prove a new (p,q)\left(p,q)-integral identity to prove some new Ostrowski type inequalities ...
You Xue-Xiao   +4 more
doaj   +1 more source

Entire solutions of certain fourth order elliptic problems and related inequalities

open access: yesAdvances in Nonlinear Analysis, 2022
We study distributional solutions of semilinear biharmonic equations of the type Δ2u+f(u)=0 onℝN,{\Delta ^2}u + f(u) = 0\quad on\;{{\mathbb R} ^N}, where f is a continuous function satisfying f (t)t ≥ c |t|q+1 for all t ∈ ℝ with c > 0 and q > 1.
D’Ambrosio Lorenzo, Mitidieri Enzo
doaj   +1 more source

Fractional Hermite-Hadamard-type inequalities for interval-valued co-ordinated convex functions

open access: yesOpen Mathematics, 2021
In this work, we introduce the notions about the Riemann-Liouville fractional integrals for interval-valued functions on co-ordinates. We also establish Hermite-Hadamard and some related inequalities for co-ordinated convex interval-valued functions by ...
Budak Huseyin   +4 more
doaj   +1 more source

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