Results 11 to 20 of about 700,267 (291)

Hermite-Hadamard like inequalities for fractional integral operator via convexity and quasi-convexity with their applications

AIMS Mathematics, 2022
Since the supposed Hermite-Hadamard inequality for a convex function was discussed, its expansions, refinements, and variations, which are called Hermite-Hadamard type inequalities, have been widely explored.
Jamshed Nasir, Shahid Qaisar , Saad Ihsan Butt , Hassen Aydi, Manuel De la Sen   +4 more
doaj   +1 more source

Some new Ostrowski’s Inequalities for Functions whose nth Derivatives are Logarithmically Convex

Annales Mathematicae Silesianae, 2018
Some new Ostrowski’s inequalities for functions whose nthderivative are logarithmically convex are established.
Meftah Badreddine
doaj   +1 more source

SEVERAL NEW INTEGRAL INEQUALITIES VIA K-RIEMANN–LIOUVILLE FRACTIONAL INTEGRALS OPERATORS

Проблемы анализа, 2021
The main objective of this paper is to establish several new integral inequalities including k-Riemann – Liouville fractional integrals for convex, s-Godunova – Levin convex functions, quasiconvex, η-quasi-convex.
S. I. Butt, B. Bayraktar, M. Umar
doaj   +1 more source

On a result of Cartwright and Field

Journal of Inequalities and Applications, 2018
Let Mn,r=(∑i=1nqixir)1r $M_{n,r}=(\sum_{i=1}^{n}q_{i}x_{i}^{r})^{\frac{1}{r}}$, r≠0 $r\neq 0$, and Mn,0=limr→0Mn,r $M_{n,0}= \lim_{r \rightarrow 0}M_{n,r}$ be the weighted power means of n non-negative numbers xi $x_{i}$, 1≤i≤n $1 \leq i \leq n$, with qi>
Peng Gao
doaj   +1 more source

Testing convex hypotheses on the mean of a Gaussian vector. Application to testing qualitative hypotheses on a regression function [PDF]

, 2005
In this paper we propose a general methodology, based on multiple testing, for testing that the mean of a Gaussian vector in R^n belongs to a convex set. We show that the test achieves its nominal level, and characterize a class of vectors over which the
Baraud, Yannick, Huet, Sylvie, Laurent, Beatrice   +2 more
core   +4 more sources

FORMATION OF VERSIONS OF SOME DYNAMIC INEQUALITIES UNIFIED ON TIME SCALE CALCULUS

Ural Mathematical Journal, 2018
The aim of this paper is to present some comprehensive and extended versions of classical inequalities such as Radon's Inequality, Bergström's Inequality, the weighted power mean inequality, Schlömilch's Inequality and Nesbitt's Inequality on time scale ...
Muhammad Jibril Shahab Sahir
doaj   +1 more source

Tight probablisitic MSE constrained multiuser MISO transceiver design under channel uncertainty [PDF]

, 2015
A novel optimization method is proposed to solve the probabilistic mean square error (MSE) constrained multiuser multiple-input single-output (MU-MISO) transceiver design problem.
He, X, Wu, YC
core   +1 more source

New generalized integral inequalities with applications

AIMS Mathematics, 2019
The authors have proved an identity for a generalized integral operator via differentiable function. By applying the established identity, the generalized trapezium type integral inequalities have been discovered.
Artion Kashuri, Rozana Liko, Silvestru Sever Dragomir   +2 more
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Hermite–Hadamard-type inequalities for geometrically r-convex functions in terms of Stolarsky’s mean with applications to means

Advances in Difference Equations, 2021
In this paper, we obtain new Hermite–Hadamard-type inequalities for r-convex and geometrically convex functions and, additionally, some new Hermite–Hadamard-type inequalities by using the Hölder–İşcan integral inequality and an improved power-mean ...
Muhammad Amer Latif
doaj   +1 more source

Some Bullen-Simpson type inequalities for differentiable s-convex functions [PDF]

Mathematica Moravica
Convexity is one of the fundamental principles of analysis. Over the past few decades, many important inequalities have been established for different classes of convex functions.
Meftah Badreddine, Samoudi Sara
doaj   +1 more source