Results 51 to 60 of about 51,346 (174)

The law of iterated logarithm for the estimations of diffusion-type processes

Advances in Difference Equations, 2020
This paper mainly discusses the asymptotic behaviours on the lasso-type estimators for diffusion-type processes with a small noise. By constructing the objective function on the estimation, in view of convexity argument, it is proved that the estimator ...
Mingzhi Mao, Gang Huang
doaj   +1 more source

Some New Properties of Exponential Trigonometric Convex Functions Using up and down Relations over Fuzzy Numbers and Related Inequalities through Fuzzy Fractional Integral Operators Having Exponential Kernels

Fractal and Fractional, 2023
The concept of convexity is fundamental in order to produce various types of inequalities. Thus, convexity and integral inequality are closely related.
Muhammad Bilal Khan, Jorge E. Macías-Díaz, Ali Althobaiti, Saad Althobaiti   +3 more
doaj   +1 more source

On Convexity, Monotonicity and Positivity Analysis for Discrete Fractional Operators Defined Using Exponential Kernels

Fractal and Fractional, 2022
This article deals with analysing the positivity, monotonicity and convexity of the discrete nabla fractional operators with exponential kernels from the sense of Riemann and Caputo operators.
Pshtiwan Othman Mohammed, Ohud Almutairi, Ravi P. Agarwal, Y. S. Hamed   +3 more
doaj   +1 more source

Exponential Inequalities for Positive Linear Mappings

Journal of Function Spaces, 2018
In this article, we present exponential-type inequalities for positive linear mappings and Hilbert space operators, by means of convexity and the Mond-Pečarić method. The obtained results refine and generalize some known results.
Mohammad Sababheh, Hamid Reza Moradi, Shigeru Furuichi   +2 more
doaj   +1 more source

Exponential convergence of distributed primal–dual convex optimization algorithm without strong convexity

Automatica, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liang, Shu, Wang, Le Yi, Yin, George
openaire   +3 more sources

Exponential convexity, positive semi-definite matrices and fundamental inequalities [PDF]

Journal of Mathematical Inequalities, 2010
The first two chapters of the classical book [6] on inequalities are devoted to fundamental inequalities and positive definiteness. In this paper we obtain results which give connection between fundamental inequalities and positive definiteness using the notion of exponential convexity.
Anwar, Matloob, Jakšetić, Julije, Pečarić, Josip, Ur Rehman, Atiq   +3 more
openaire   +2 more sources

Hermite-Hadamard type Inequalities via $p$--Harmonic Exponential type Convexity and Applications

Universal Journal of Mathematics and Applications, 2021
In this work, we introduce the idea and concept of $p$--harmonic exponential type convex functions. We elaborate on the newly introduced idea by examples and some interesting algebraic properties.
Muhammad Tariq
doaj  

Optimal learning with $Q$-aggregation

, 2014
We consider a general supervised learning problem with strongly convex and Lipschitz loss and study the problem of model selection aggregation. In particular, given a finite dictionary functions (learners) together with the prior, we generalize the ...
Lecué, Guillaume, Rigollet, Philippe
core   +1 more source

A Study of Some New Hermite–Hadamard Inequalities via Specific Convex Functions with Applications

Mathematics
Convexity plays a crucial role in the development of fractional integral inequalities. Many fractional integral inequalities are derived based on convexity properties and techniques.
Moin-ud-Din Junjua, Ather Qayyum, Arslan Munir, Hüseyin Budak, Muhammad Mohsen Saleem, Siti Suzlin Supadi   +5 more
doaj   +1 more source

An alternative proof of Elezovi\'c-Giordano-Pe\v{c}ari\'c's theorem

, 2009
In the present note, an alternative proof is supplied for Theorem~1 in [N. Elezovi\'c, C. Giordano and J. Pe\v{c}ari\'c, \textit{The best bounds in Gautschi's inequality}, Math. Inequal. Appl.
Guo, Bai-Ni, Qi, Feng
core   +1 more source