Results 1 to 10 of about 1,680 (149)

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   +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   +2 more sources

Poincaré Inequalities for Mutually Singular Measures [PDF]

open access: yesAnalysis and Geometry in Metric Spaces, 2015
Using an inverse system of metric graphs as in [3], we provide a simple example of a metric space X that admits Poincaré inequalities for a continuum of mutually singular measures.
Schioppa Andrea
doaj   +3 more sources

A New Approach of Milne-type Inequalities Based on Proportional Caputo-Hybrid Operator

open access: yesJournal of Advances in Applied & Computational Mathematics, 2023
In this study, we first offer a novel integral identity using twice-differentiable convex mappings for the proportional Caputo-hybrid operator.
İzzettin Demir
semanticscholar   +1 more source

Refinements of Bennett type inequalities

open access: yesMathematical Inequalities & Applications, 2023
. In this paper we discuss, complement and improve some Bennett type inequalities.In particular, we prove a new re fi nement of a Bennett type inequality using superquadracity argu-ment. Mathematics subject classi fi cation (2020): 26D10, 26D15.
J. Oguntuase, L. Persson, E. Adeleke
semanticscholar   +1 more source

Lp Hardy's identities and inequalities for Dunkl operators

open access: yesAdvanced Nonlinear Studies, 2022
The main purpose of this article is to establish the Lp{L}^{p} Hardy’s identities and inequalities for Dunkl operator on any finite balls and the entire space RN{{\mathbb{R}}}^{N}. We also prove Hardy’s identities and inequalities on certain domains with
Wang Jianxiong
doaj   +1 more source

Gauss Lucas theorem and Bernstein-type inequalities for polynomials

open access: yesActa Universitatis Sapientiae: Mathematica, 2022
According to Gauss-Lucas theorem, every convex set containing all the zeros of a polynomial also contains all its critical points. This result is of central importance in the geometry of critical points in the analytic theory of polynomials.
Ali Liyaqat, Rather N. A., Gulzar Suhail
doaj   +1 more source

Interpolation inequalities in generalized Orlicz-Sobolev spaces and applications

open access: yesOpen Mathematics, 2023
Let m∈Nm\in {\mathbb{N}} and be a generalized Orlicz function. We obtained some interpolation inequalities for derivatives in generalized Orlicz-Sobolev spaces Wm,φ(Rn){W}^{m,\varphi }\left({{\mathbb{R}}}^{n}).
Wu Ruimin, Wang Songbai
doaj   +1 more source

Trapezoid type inequalities for generalized Riemann-Liouville fractional integrals of functions with bounded variation

open access: yesActa Universitatis Sapientiae: Mathematica, 2020
In this paper we establish some trapezoid type inequalities for the Riemann-Liouville fractional integrals of functions of bounded variation and of Hölder continuous functions. Applications for the g-mean of two numbers are provided as well.
Dragomir Silvestru Sever
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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