Results 11 to 20 of about 1,955,261 (263)

Approximating the Stieltjes Integral via the Darst-Pollard Inequality [PDF]

open access: yes, 2007
An approximation of the Stieltjes integral of bounded integrals and continuous integrators via the Darst-Pollard inequality is given. Applications for the generalised trapezoid formula and the Ostrowski inequality for functions of bounded variation ...
Dragomir, Sever S, Sofo, Anthony
core   +7 more sources

On an Open Problem by Feng Qi Regarding an Integral Inequality [PDF]

open access: yes, 2002
In the article, a functional inequality in abstract spaces is established, which gives a new affirmative answer to an open problem posed by Feng Qi in Several integral inequalities which appeared in J. Inequal. Pure Appl. Math. 1 (2000), no. 2, Art. 19.
Mazouzi, S, Qi, Feng
core   +6 more sources

A Version of Favard's Inequality for the Sugeno Integral [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2020
In this paper, we  present a version of Favard's inequality for special case and then generalize it for the Sugeno integral in fuzzy measure space $(X,Sigma,mu)$, where $mu$ is the Lebesgue measure. We consider two cases, when our function is concave and
Bayaz Daraby   +2 more
doaj   +1 more source

A Further Generalization of Hardy-Hilbert's Integral Inequality with Parameter and Applications [PDF]

open access: yes, 2004
In this paper, by introducing some parameters and by employing a sharpening of Hölder’s inequality, a new generalization of Hardy-Hilbert integral inequality involving the Beta function is established.
Leping, He   +2 more
core   +6 more sources

Fuzzy Mixed Variational-like and Integral Inequalities for Strongly Preinvex Fuzzy Mappings [PDF]

open access: yesSymmetry, 2021
It is a familiar fact that convex and non-convex fuzzy mappings play a critical role in the study of fuzzy optimization. Due to the behavior of its definition, the idea of convexity plays a significant role in the subject of inequalities. The concepts of convexity and symmetry have a tight connection. We may use whatever we learn from one to the other,
Muhammad Bilal Khan   +3 more
openaire   +1 more source

Some New Classes of Preinvex Fuzzy-Interval-Valued Functions and Inequalities

open access: yesInternational Journal of Computational Intelligence Systems, 2021
It is well known that convexity and nonconvexity develop a strong relationship with different types of integral inequalities. Due to the importance of the concept of nonconvexity and integral inequality, in this paper, we present some new classes of ...
Muhammad Bilal Khan   +3 more
doaj   +1 more source

Generalized Harmonically Convex Fuzzy-Number-Valued Mappings and Fuzzy Riemann–Liouville Fractional Integral Inequalities

open access: yesMathematics, 2023
We propose the concept of up and down harmonically convex mapping for fuzzy-number-valued mapping as our main goal in this work. With the help of up and down harmonically fuzzy-number convexity and the fuzzy fractional integral operator, we also show the
Muhammad Bilal Khan   +4 more
doaj   +1 more source

Improved Extended Dissipativity Results for T-S Fuzzy Generalized Neural Networks With Mixed Interval Time-Varying Delays

open access: yesIEEE Access, 2022
The asymptotic stability and extended dissipativity performance of T-S fuzzy generalized neural networks (GNNs) with mixed interval time-varying delays are investigated in this paper.
Sunisa Luemsai, Thongchai Botmart
doaj   +1 more source

Some Integral Inequalities for Generalized Convex Fuzzy-Interval-Valued Functions via Fuzzy Riemann Integrals [PDF]

open access: yesInternational Journal of Computational Intelligence Systems, 2021
AbstractIn this study, we introduce the new concept of $$h$$ h -convex fuzzy-interval-valued functions. Under the new concept, we present new versions of Hermite–Hadamard inequalities (H–H inequalities) are called fuzzy-interval Hermite–Hadamard type inequalities for $$h$$ h -convex ...
Muhammad Bilal Khan   +4 more
openaire   +1 more source

Stability and Stabilization Condition for T-S Fuzzy Systems with Time-Delay under Imperfect Premise Matching via an Integral Inequality

open access: yesInternational Journal of Computational Intelligence Systems, 2020
This paper focuses on the stability and stabilization analysis for the T-S fuzzy systems with time-delay under imperfect premise matching, in which the number of fuzzy rules and membership functions employed for the fuzzy model and fuzzy controller are ...
Zejian Zhang, Dawei Wang, Xiao-Zhi Gao
doaj   +1 more source

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