Results 51 to 60 of about 6,804 (192)

Hermite-Hadamard type inequalities for p-convex functions via fractional integrals

Moroccan Journal of Pure and Applied Analysis, 2017
In this paper, we present Hermite-Hadamard inequality for p-convex functions in fractional integral forms. we obtain an integral equality and some Hermite-Hadamard type integral inequalities for p-convex functions in fractional integral forms.
Kunt Mehmet, İşcan İmdat
doaj   +1 more source

On Caputo modification of Hadamard-type fractional derivative and fractional Taylor series

Advances in Difference Equations, 2020
In this paper a general framework is presented on some operational properties of Caputo modification of Hadamard-type fractional differential operator along with a new algorithm proposed for approximation of Hadamard-type fractional integral using Haar ...
Rashida Zafar, Mujeeb ur Rehman, Moniba Shams   +2 more
doaj   +1 more source

The Hermite–Hadamard–Mercer Type Inequalities via Generalized Proportional Fractional Integral Concerning Another Function

International Journal of Mathematics and Mathematical Sciences, 2022
In order to be able to study cosmic phenomena more accurately and broadly, it was necessary to expand the concept of calculus. In this study, we aim to introduce a new fractional Hermite–Hadamard–Mercer’s inequality and its fractional integral type ...
Tariq A. Aljaaidi, Deepak B. Pachpatte
doaj   +1 more source

New Inequalities for GA–h Convex Functions via Generalized Fractional Integral Operators with Applications to Entropy and Mean Inequalities

Fractal and Fractional
We prove the inequalities of the weighted Hermite–Hadamard type the and Hermite–Hadamard–Mercer type for an extremely rich class of geometrically arithmetically-h-convex functions (GA-h-CFs) via generalized Hadamard–Fractional integral operators (HFIOs).
Asfand Fahad, Zammad Ali, Shigeru Furuichi, Saad Ihsan Butt, Ayesha, Yuanheng Wang   +5 more
doaj   +1 more source

Fractional Hadamard and Fejér-Hadamard Inequalities Associated with Exponentially s,m-Convex Functions

Journal of Function Spaces, 2020
The aim of this paper is to present the fractional Hadamard and Fejér-Hadamard inequalities for exponentially s,m-convex functions. To establish these inequalities, we will utilize generalized fractional integral operators containing the Mittag-Leffler ...
Shuya Guo, Yu-Ming Chu, Ghulam Farid, Sajid Mehmood, Waqas Nazeer   +4 more
doaj   +1 more source

Exploring Quantum Support Vector Regression for Predicting Hydrogen Storage Capacity of Nanoporous Materials

Advanced Intelligent Discovery, EarlyView.
In this study we employed support vector regressor and quantum support vector regressor to predict the hydrogen storage capacity of metal–organic frameworks using structural and physicochemical descriptors. This study presents a comparative analysis of classical support vector regression (SVR) and quantum support vector regression (QSVR) in predicting ...
Chandra Chowdhury
wiley   +1 more source

Mellin Transforms of the Generalized Fractional Integrals and Derivatives

, 2014
We obtain the Mellin transforms of the generalized fractional integrals and derivatives that generalize the Riemann-Liouville and the Hadamard fractional integrals and derivatives.
Bucchianico, Butkovskii, Butzer, Butzer, Butzer, Butzer, Bóna, Erdélyi, Erdélyi, Flajolet, Gaboury, Goldman, Hadamard, Herrmann, Katugampola, Katugampola, Kilbas, Kilbas, Kilbas, Kilbas, Kiryakova, Machado, Miller, Noor, Noor, Noor, Odzijewicz, Odzijewicz, Odzijewicz, Oldham, Podlubny, Pooseh, Robbins, Robinson, Rodrigues, Roman, Roman, Roman, Rota, Rota, Samko, Udita N. Katugampola, Yakubovich   +42 more
core   +1 more source

Advanced Experiment Design Strategies for Drug Development

Advanced Intelligent Discovery, EarlyView.
Wang et al. analyze 592 drug development studies published between 2020 and 2024 that applied design of experiments methodologies. The review surveys both classical and emerging approaches—including Bayesian optimization and active learning—and identifies a critical gap between advanced experimental strategies and their practical adoption in ...
Fanjin Wang, Anthony Harker, Mohan Edirisinghe, Maryam Parhizkar   +3 more
wiley   +1 more source

A note on Hadamard fractional differential equations with varying coefficients and their applications in probability

, 2017
In this paper we show several connections between special functions arising from generalized COM-Poisson-type statistical distributions and integro-differential equations with varying coefficients involving Hadamard-type operators. New analytical results
Garra, Roberto, Orsingher, Enzo, Polito, Federico   +2 more
core   +1 more source

Enhancing Atomic‐Resolution in Electron Microscopy: A Deep Learning Denoiser Operating in the Frequency Domain

Advanced Intelligent Systems, EarlyView.
The newly developed AI‐automated Fast Fourier Transform denoising algorithm surpasses conventional real‐space methods by revealing even light atoms otherwise hidden in noisy backgrounds. Atomic resolution electron microscopy has become an essential tool for many scientific fields, when direct visualization of atomic arrangements and defects is needed ...
Ivan Pinto‐Huguet, Marc Botifoll, Xuli Chen, Martin Børstad Eriksen, Jing Yu, Giovanni Isella, Andreu Cabot, Gonzalo Merino, Jordi Arbiol   +8 more
wiley   +1 more source