A5063585002- Mathematical Inequalities and Applications
- Mathematical functions and polynomials
- Nonlinear Differential Equations Analysis
- Functional Equations Stability Results
- Fractional Differential Equations Solutions
- Environmental Toxicology and Ecotoxicology
- Iterative Methods for Nonlinear Equations
- Matrix Theory and Algorithms
- Animal Ecology and Behavior Studies
- Evolution and Genetic Dynamics
- Fuzzy and Soft Set Theory
- Mathematical and Theoretical Epidemiology and Ecology Models
- Multi-Criteria Decision Making
- Spectral Theory in Mathematical Physics
- Water Quality and Pollution Assessment
- Fish Biology and Ecology Studies
University of Kinshasa
2020-2024
In this article, some generalizations of inequalities involving Chebyshev functional depending upon two parameters, for the class twice differentiable functions on time scales, are studied. order to reach milestone, preliminary identities introduced delta and nabla integrals simultaneously. By utilizing these identities, type obtained diamond alpha integrals. Special cases also deduced obtain connection with existing literature.
In this paper, we present an identity for differentiable functions that has played important role in proving Hermite–Hadamard type inequalities whose absolute values of first derivatives are <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"><mi>s</mi></math> -convex functions. Meanwhile, some the second id="M2"><mi>s</mi></math> also established with help existing literature. Many limiting results deduced from main which stated remarks. Some applications proved discussed study.
Fractional calculus is extremely important and should not be undervalued due to its critical role in the theory of inequalities. In this article, different generalized Hermite-Hadamard type inequalities for functions whose modulus first derivatives are (α,s)-convex presented, via Caputo-Fabrizio integrals. Graphical justifications main results presented. Graphs enable us support our conclusions show reliability findings. Additionally, some applications probability numerical integration also...
The main motivation of this study is to introduce a novel auxiliary result Simpson’s formula by employing the Mercer scheme for twice differentiable functions involving Atangana-Baleanu (AB) fractional integral operator concerned with Mittag-Leffler as nonsingular or nonlocal kernel. Thus, Mercer’s convexity on mappings along Hölder’s and power-mean inequalities, one can develop variety new error estimates. Lastly, some applications <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1">...
Decision-making approaches are often used in uncertain environments by people who must make difficult judgments daily life, including elements of varied qualities and costs. These methods assist decision-makers managing ambiguity uncertainty, allowing for more informed risk-reduced decisions. This research introduces an advanced framework called a complex single-valued neutrosophic soft set (csvNSS) to address uncertainties inherent decision-making. The csvNSS is capable information...
In the present paper, <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M3"> <a:mi>q</a:mi> </a:math> -fractional integral operators are used to construct quantum analogue of Ostrowski type inequalities for class <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" id="M4"> <c:mi>s</c:mi> </c:math> -convex functions. The limiting cases include nonfractional existing from literature. Specially, <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" id="M5"> <e:mi>q</e:mi> </e:math>...
In this paper, we compare two relevant methods to find Analytical solution of the Black-Scholes Equation. First, apply Adomian Decomposition Method as in [2], obtain a aforementioned equation with boundary condition for European option. Secondly, Lie algebraic Approach determining [7]. Those conducted us investigate thin line between underlying results. Finally, suggest simple enhanced Due Diligence on both approaches.