Results 31 to 40 of about 122,278 (111)

Refinements of the Jensen Inequality and Estimates of the Jensen Gap Based on Interval‐Valued Functions

Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12567-12576, August 2025.
ABSTRACT The significance of the Jensen inequality stems from its impactful and compelling outcomes. As a generalization of classical convexity, it plays a key role in deriving other well‐known inequalities such as Hermite–Hadamard, Hölder, Minkowski, arithmetic‐geometric, and Young's inequalities.
İzzettin Demir
wiley   +1 more source

An Approach to Solve Fuzzy Fractional Darboux Problems Under the Caputo Derivative

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
This paper investigates the Fuzzy Adomian Decomposition Method to find approximate analytical solutions for linear and nonlinear fuzzy Darboux problems using the Caputo‐type mixed fractional derivative, which plays an important role in applied and engineering sciences. The solutions are formulated as series with easily calculable terms.
Nagwa A. Saeed, Deepak B. Pachpatte, Elena Kaikina   +2 more
wiley   +1 more source

Approximate Solution of Intuitionistic Fuzzy Volterra Integral Equation of Separable‐Type Kernel Using Elzaki Adomian Decomposition Method

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
An intuitionistic fuzzy number, which incorporates both membership and nonmembership functions at a same time, allows for a more accurate representation of uncertainty. This work presents an approximate solution to the Volterra integral equation that involves both membership and nonmembership degrees of uncertainty named as intuitionistic fuzzy ...
Zain Khan, Saleem Abdullah, Samuel Okyere, Bikash Koli Dey   +3 more
wiley   +1 more source

Fuzzy-Valued Functions Calculus Through Midpoint Representation

Mathematics
In this paper, we are concerned with the calculus for fuzzy-valued functions of a single real variable when the adopted representation is the midpoint-radius; in particular, we extend the well-known LU-order to the more general case of the so-called γ ...
Laerte Sorini, Maria Letizia Guerra, Benedetta Amicizia, Mina Shahidi, Luciano Stefanini   +4 more
doaj   +1 more source

An Estimation of Different Kinds of Integral Inequalities for a Generalized Class of Godunova–Levin Convex and Preinvex Functions via Pseudo and Standard Order Relations

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
The connection between generalized convexity and analytic operators is deeply rooted in functional analysis and operator theory. To put the ideas of preinvexity and convexity even closer together, we might state that preinvex functions are extensions of convex functions. Integral inequalities are developed using different types of order relations, each
Zareen A. Khan, Waqar Afzal, Nikhil Khanna   +2 more
wiley   +1 more source

Solution of Fuzzy System of Linear Equation Under Different Fuzzy Difference Ideology

Spectrum of Operational Research
In this article, we solve fuzzy system of linear equations under Hukuhara difference and generalized Hukuhara difference using analytical technique.
Puspa Sing, M. Rahaman, Sankar Prasad Mondal Sankar   +2 more
semanticscholar   +1 more source

Advanced Mathematical Modeling of Woolen Knitting Dynamics Using Laplace Transform and Fourth‐Order Runge–Kutta Method

Journal of Mathematics, Volume 2025, Issue 1, 2025.
The knitting of wool is a complicated textile process that is driven by nonlinear interactions of yarn tension, loop creation, and needle dynamics. These interactions have a considerable impact on the quality of the fabric as well as the efficiency with which it is produced.
Suresh Kumar Sahani, Sai Kiran Oruganti, K. Satishkumar, R. U. Gobithaasan   +3 more
wiley   +1 more source

Numerical Solutions of Fuzzy Linear Fractional Differential Equations With Laplace Transforms Under Caputo‐Type H‐Differentiability

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this article, we explored the numerical solution of fuzzy linear fractional differential equations (FLFDEs) under Caputo‐type H‐differentiability. To obtain a numerical solution, it is crucial to understand the fuzzy Laplace transform of the Caputo‐type H‐derivative of Da+β Cyx.
Ekhtiar Khodadadi, Mesut Karabacak, Ercan Çelik, Pramita Mishra   +3 more
wiley   +1 more source

Analysis of solutions of fuzzy differential equations under the generalized derivative

Soft Computing - A Fusion of Foundations, Methodologies and Applications
The generalized derivative represents the broadest notion of the Hukuhara-type derivative of a fuzzy number-valued function in the literature. It exists for a wide class of fuzzy processes, since the generalized difference exists for any pair of ...
Felipe Longo, B. Laiate, M. C. Gadotti, J. F. Meyer   +3 more
semanticscholar   +1 more source

Exploring Advanced Versions of Hermite‐Hadamard and Trapezoid‐Type Inequalities by Implementation of Fuzzy Interval‐Valued Functions

Journal of Function Spaces, Volume 2024, Issue 1, 2024.
The extension of interval‐valued and real‐valued functions known as fuzzy interval‐valued function (FIVF) has made substantial contributions to the theory of interval analysis. In this article, we explore the importance of h‐Godunova‐Levin fuzzy convex and preinvex functions and also develop the new generation of the Hermite‐Hadamard and trapezoid‐type
Yaqun Niu, Rana Safdar Ali, Naila Talib, Shahid Mubeen, Gauhar Rahman, Çetin Yildiz, Fuad A. Awwad, Emad A. A. Ismail, Wilfredo Urbina   +8 more
wiley   +1 more source