Results 11 to 20 of about 2,194,406 (379)
On Generalizations of Integral Inequalities
Issues of Analysis, 2022 Summary: In the present study, several new generalized integral inequalities of the Hadamard and Simpson-type are obtained. The results were obtained for functions whose first and third derivatives are either convex or satisfy the Lipschitz condition or the conditions of the Lagrange theorem.
BAYRAKTAR, BAHTİYAR +2 more
openaire +4 more sources
An equivalent condition to the Jensen inequality for the generalized Sugeno integral. [PDF]
, 2017 For the classical Jensen inequality of convex functions, i.e., [Formula: see text] an equivalent condition is proved in the framework of the generalized Sugeno integral.
Abbaszadeh, Sadegh +3 more
core +8 more sources
Advances in Difference Equations, 2021 In this paper, we offer a new quantum integral identity, the result is then used to obtain some new estimates of Hermite–Hadamard inequalities for quantum integrals. The results presented in this paper are generalizations of the comparable results in the
Yi-Xia Li +4 more
doaj +1 more source
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 +3 more
doaj +1 more source
IEEE Access, 2020 This paper is concerned with the problem of stability analysis for systems with additive time-varying delays (ATDs). This paper proposes a new free-matrix-based integral inequality that provides estimate of the energy of the vector that contains the ...
In Seok Park, Junhui Lee, P. Park
semanticscholar +1 more source
Some new inequalities for (α,m1,m2 )-GA convex functions
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020 In this manuscript, firstly we introduce and study the concept of (α,m_1,m_2 )-Geometric-Arithmetically (GA) convex functions and some algebraic properties of such type functions.
Mahir Kadakal
doaj +1 more source
KETAKSAMAAN INTEGRAL GRONWALL-BELLMAN UNTUK FUNGSI BERPANGKAT
Barekeng, 2011 Integral inequality of Gronwall-Bellman is known as an integral inequality which consists of differential and integral forms. Integral inequality of Gronwall-Bellman involving several functions that some definite condition hold and integral values of ...
Monalisa E. Rijoly +2 more
doaj +1 more source
Mathematical Inequalities & Applications, 2001 Let \((X,{\mathcal A},\mu)\) be a measure space, and let \(S:X\to {\mathcal A}\) be a function of type (C), i.e., \(S\) satisfies the following three conditions: C1) \(x\notin S(x)\) for every \(x\in X;\) C2) if \(y\in S(x),\) then \(S(y)\subset S(x);\) C3) \(\{ (x,y)\); \(y\in S(x)\} \) is \( \mu \times \mu \) measurable.
openaire +2 more sources
Systems Science & Control Engineering, 2020 This paper investigates the stability problem of neural networks (NNs) with time-varying delay. Firstly, a new augmented vector and suitable Lyapunov–Krasovskii Functional (LKF) considering activation function are constructed by using more information of
Zhizheng Zhao, W. Qian, Xiaozhuo Xu
semanticscholar +1 more source
Integral inequalities via fractional quantum calculus
Journal of Inequalities and Applications, 2016 In this paper we prove several fractional quantum integral inequalities for the new q-shifting operator Φ q a ( m ) = q m + ( 1 − q ) a ${_{a}}\Phi_{q}(m) = qm + (1-q)a$ introduced in Tariboon et al. (Adv. Differ. Equ.
Weerawat Sudsutad +2 more
doaj +1 more source