Results 21 to 30 of about 44,177 (224)

New Hermite-Hadamard inequalities in fuzzy-interval fractional calculus via exponentially convex fuzzy interval-valued function

AIMS Mathematics, 2021
In the present note, we develop Hermite-Hadamard type inequality and He's inequality for exponential type convex fuzzy interval-valued functions via fuzzy Riemann-Liouville fractional integral and fuzzy He's fractional integral.
Yanping Yang, Muhammad Shoaib Saleem, Waqas Nazeer, Ahsan Fareed Shah   +3 more
doaj   +1 more source

FUNGSI KONVEKS DAN PERTIDAKSAMAAN HERMITE-HADAMARD [PDF]

, 2021
Tujuan dari studi ini adalah mempelajari sifat-sifat Fungsi Konveks dan Pertidaksamaan Hermite-Hadamard. Sebagaimana diketahui bahwa sifat fungsi konveks telah digunakan untuk mengkonstruksi atau pengembangan pertidaksamaan Hermite-Hadamard.
Nabil Mahatir, -
core  

Quantum algorithms for attacking hardness assumptions in classical and post‐quantum cryptography

IET Information Security, Volume 17, Issue 2, Page 171-209, March 2023., 2023
Abstract In this survey, the authors review the main quantum algorithms for solving the computational problems that serve as hardness assumptions for cryptosystem. To this end, the authors consider both the currently most widely used classically secure cryptosystems, and the most promising candidates for post‐quantum secure cryptosystems.
J.‐F. Biasse, X. Bonnetain, E. Kirshanova, A. Schrottenloher, F. Song   +4 more
wiley   +1 more source

Hardness of (Semiuniform) MLWE with Short Distributions Using the Rényi Divergence

IET Information Security, Volume 2023, Issue 1, 2023., 2023
The module learning with errors (MLWE) problem has attracted considerable attention for its tradeoff between security and efficiency. The quantum/classical worst‐case to average‐case hardness for the MLWE problem (or more exactly, a family of problems) has been established, but most of the known results require the seed distribution to be the uniform ...
Wenjuan Jia, Baocang Wang, Youwen Zhu
wiley   +1 more source

A Generalization of Hermite–Hadamard–Fejer Type Inequalities for the p‐Convex Function via α‐Generator

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
In the 17th century, I. Newton and G. Leibniz found independently each other the basic operations of calculus, i.e., differentiation and integration. And this development broke new ground in mathematics. From 1967 to 1970, Michael Grossman and Robert Katz gave definitions of a new kind of derivative and integral, converting the roles of subtraction and
Erdal Ünlüyol, Yeter Erdaş, Chiranjibe Jana   +2 more
wiley   +1 more source

IMPROVEMENT OF FRACTIONAL HERMITE-HADAMARD TYPE INEQUALITY FOR CONVEX FUNCTIONS [PDF]

, 2018
iscan, imdat/0000-0001-6749-0591; Kunt, Mehmet/0000-0002-8730-5370WOS: 000458493700023In this paper, it is proved that fractional Hermite-Hadamard inequality and fractional Hermite-Hadamard-Fejer inequality are just results of Hermite-Hadamard-Fejer ...
Iscan, Imdat, Karapinar, Dünya, Kunt, Mehmet, Turhan, Sercan   +3 more
core   +1 more source

Hermite-Hadamard-Fejér Inequality Related to Generalized Convex Functions via Fractional Integrals

Journal of Mathematics, 2018
This paper deals with Hermite-Hadamard-Fejér inequality for (η1,η2)-convex functions via fractional integrals. Some mid-point and trapezoid type inequalities related to Hermite-Hadamard inequality when the absolute value of derivative of considered ...
M. Rostamian Delavar, S. Mohammadi Aslani, M. De La Sen   +2 more
doaj   +1 more source

Jensen–Mercer and Hermite–Hadamard–Mercer Type Inequalities for GA-h-Convex Functions and Its Subclasses with Applications

Mathematics, 2023
Many researchers have been attracted to the study of convex analysis theory due to both facts, theoretical significance, and the applications in optimization, economics, and other fields, which has led to numerous improvements and extensions of the ...
Asfand Fahad, Ayesha, Yuanheng Wang, Saad Ihsaan Butt   +3 more
doaj   +1 more source

Hermite-Hadamard-Fejér Inequalities for Conformable Fractional Integrals via Preinvex Functions

Journal of Function Spaces, 2019
In this paper, we present a Hermite-Hadamard-Fejér inequality for conformable fractional integrals by using symmetric preinvex functions. We also establish an identity associated with the right hand side of Hermite-Hadamard inequality for preinvex ...
Yousaf Khurshid, Muhammad Adil Khan, Yu-Ming Chu, Zareen Abdulhameed Khan   +3 more
doaj   +1 more source

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