Results 261 to 270 of about 203,013 (298)

Gronwall-Bellman and Pachpatte type double integral inequalities with applications

Punjab University journal of mathematics, 2023
Some new generalized two-dimensional non-linear double integral inequalities of Gronwall-Bellman and Pachpatte type have been discussed which are handy tools in the study of partial, integral, and integrodifferential equations. Some applications are also
Sabir Hussain, Shazia Shahadat, Sobia Rafeeq   +2 more
semanticscholar   +1 more source

Stability analysis of singular time-delay systems using the auxiliary function-based double integral inequalities

International Journal of Systems Science, 2021
Recently, there have been a few developments reported on using the Wirtinger/free-matrix-based single integral inequality to stability problem of singular time-delay systems but there has been no report on the double ones.
T. H. Luu, P. T. Nam
semanticscholar   +1 more source

Weighted Fractional Hermite–Hadamard Integral Inequalities for up and down Ԓ-Convex Fuzzy Mappings over Coordinates

Mathematics, 2023
Due to its significant influence on numerous areas of mathematics and practical sciences, the theory of integral inequality has attracted a lot of interest.
Muhammad Bilal Khan, E. Nwaeze, Cheng‐Chi Lee, H. Zaini, Der-Chyuan Lou, K. H. Hakami   +5 more
semanticscholar   +1 more source

Quantum Ostrowski‐type integral inequalities for functions of two variables

Mathematical methods in the applied sciences, 2021
In this study, we established some new inequalities of Ostrowski type for the functions of two variables by using the concept of newly defined double quantum integrals.
H. Budak, M. Ali, T. Tunç
semanticscholar   +1 more source

Ostrowski Type Inequalities on Time Scales for Double Integrals

Acta Applicandae Mathematicae, 2009
The aim of this paper is studying the double integral version of the well-known Ostrowski inequality on time scales via \(\Delta\Delta\)-, \(\nabla\nabla\)-, \(\Delta\nabla\)-, \(\nabla\Delta\)-integrals. The authors review briefly the concept of time scales and above mentioned integrals.
Liu, Wenjun, Ngô, Quốc Anh, Chen, Wenbing   +2 more
openaire   +2 more sources

Ostrowski Type Inequality for Double Integrals on Time Scales

Acta Applicandae Mathematicae, 2008
Various generalizations, including double integral versions, of the well-known Ostrowski inequality are obtained. On the other hand, studying integral inequalities on time scales is the subject of some investigations, like the paper under review, which give a generalization of a known double integral version of the Ostrowski inequality on arbitrary ...
Özkan, Umut Mutlu, Yildirim, Hüseyin
openaire   +1 more source

Refining and extending two special Hardy-Hilbert-type integral inequalities

Annals of Mathematics and Computer Science
Numerous variants of the Hardy-Hilbert integral inequality have been developed in the literature. This article first presents refinements and extensions of two such variants.
C. Chesneau
semanticscholar   +1 more source

Stability analysis of time-varying delay neural networks based on augmented double integral Lyapunov–Krasovskii functionals: a novel neuroscience technology

Advanced Technology in Neuroscience
JOURNAL/atin/04.03/02274269-990000000-00016/figure1/v/2025-09-25T132224Z/r/image-tiff Neural networks, as the core of artificial intelligence, are prone to system instability due to their time-delay characteristics. However, existing
Jianyong Zhuang, Xudong Chen, Xiaoyong He   +2 more
semanticscholar   +1 more source

Different Bounds for an Original Double Integral Involving Concave Functions

Nonlinear Convex Analysis and Optimization: An International Journal on Numerical, Computation and Applications
Establishing bounds for integrals involving concave functions is an important topic in mathematical analysis. In this article, we investigate a class of double integrals whose integrands are given by the ratio of the sum of two concave functions.
C. Chesneau
semanticscholar   +1 more source

An Advanced Study of Hermite–Hadamard and Trapezoid-Type Inequalities via Generalized Convexity and Fractional Double Integral Operators

European Journal of Pure and Applied Mathematics
Performing a thought study of fractional inequalities by means of convexity and fractional operators has conspicuous work in the field of analysis. The main object of this paper is to discuss the coordinated convexity, pre-invexity, and also establish ...
R. Ali, J. E. Macías-Díaz, Naila Talib, Humaira Saif, M. Baber, Nauman Ahmed, Armando Gallegos   +6 more
semanticscholar   +1 more source