Results 91 to 100 of about 6,804 (192)

Hermite-Hadamard type inequalities for the generalized k-fractional integral operators

Journal of Inequalities and Applications, 2017
We firstly give a modification of the known Hermite-Hadamard type inequalities for the generalized k-fractional integral operators of a function with respect to another function.
Erhan Set, Junesang Choi, Abdurrahman Gözpinar   +2 more
doaj   +1 more source

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré, Federico Milanesio, Marcelo Oyarzo, Matteo Santoro, Mario Trigiante   +4 more
wiley   +1 more source

On Hermite--Hadamard type inequalities via generalized fractional integrals

TURKISH JOURNAL OF MATHEMATICS, 2016
New Hermite-Hadamard type inequalities are obtained for convex functions via generalized fractional integrals. The results presented here are generalizations of those obtained in earlier works.
JLELI, Mohamed, O'REGAN, Donal, SAMET, Bessem   +2 more
openaire   +2 more sources

Bayesian Hierarchical Models With Calibrated Mixtures of g‐priors for Assessing Treatment Effect Moderation in Meta‐Analysis

Statistics in Medicine, Volume 45, Issue 8-9, April 2026.
ABSTRACT Assessing treatment effect moderation is critical in biomedical science and many other fields, as it guides personalized interventions to improve individual health outcomes. Individual participant‐level data meta‐analysis (IPD‐MA) offers a robust framework for such assessments by leveraging data from multiple studies.
Qiao Wang, Hwanhee Hong
wiley   +1 more source

Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals

Journal of Inequalities and Applications, 2017
Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named ( k , s ) $(k,s)$ -Riemann-Liouville fractional integrals) are obtained for a fractional integral, and an important identity is established.
Praveen Agarwal, Mohamed Jleli, Muharrem Tomar   +2 more
doaj   +1 more source

Mellin transform analysis and integration by parts for Hadamard-type fractional integrals

Journal of Mathematical Analysis and Applications, 2002
The authors consider the known construction of Hadamard fractional integration \[ \mathcal{I}^\alpha_{0+,\mu} f(x)= \frac{1}{\Gamma(\alpha)}\int_0^x\left(\frac{u}{x}\right) ^\mu \left(ln \frac{x}{u}\right)^{ \alpha -1}\frac{f(u) du}{u} \] and some of their modifications. These constructions are invariant with respect to dilations and are related to the
Butzer, Paul L., Kilbas, Anatoly A., Trujillo, Juan J.   +2 more
openaire   +2 more sources

Generalized Error Bounds for Mercer-Type Inequalities in Fractional Integrals with Applications

Universal Journal of Mathematics and Applications
Fractional integral inequalities have emerged as powerful and versatile tools in advancing both pure and applied mathematics in recent years. Numerous researchers have recently introduced various generalized inequalities involving fractional integral ...
Arslan Munir, Hüseyin Budak, Artion Kashuri   +2 more
doaj   +1 more source

Continuous random variables with Hadamard fractional integral

Tamkang Journal of Mathematics, 2018
In this paper, we establish some new inequalities of expectation and variance of continuous random variables by using the Hadamard fractional integral operator.
Khellaf Ould Melha, Vaijanath Laxmanrao Chinchane   +1 more
openaire   +2 more sources

Hermite–Hadamard–Mercer type inequalities for fractional integrals: A study with h-convexity and ψ-Hilfer operators

Boundary Value Problems
In this paper, we first prove a generalized fractional version of Hermite-Hadamard-Mercer type inequalities using h-convex functions by means of ψ-Hilfer fractional integral operators.
Noureddine Azzouz, Bouharket Benaissa, Hüseyin Budak, İzzettin Demir   +3 more
doaj   +1 more source

Explicit Iteration and Unique Positive Solution for a Caputo-Hadamard Fractional Turbulent Flow Model

IEEE Access, 2019
Hadamard fractional calculus theory has made many scholars enthusiastic and excited because of its special logarithmic function integral kernel. In this paper, we focus on a class of Caputo-Hadamard-type fractional turbulent flow model involving $p(t)$ -
Guotao Wang, Xueyan Ren, Lihong Zhang, Bashir Ahmad   +3 more
doaj   +1 more source