Results 91 to 100 of about 231 (171)

Simpson, midpoint, and trapezoid-type inequalities for multiplicatively s-convex functions

Demonstratio Mathematica
In this study, we establish new generalizations and results for Simpson, midpoint, and trapezoid-type integral inequalities within the framework of multiplicative calculus. We begin by proving a new identity for multiplicatively differentiable functions.
Özcan Serap
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Hermite-Hadamard Type Inequalities for convex functions via generalized fractional integral operators

Topological Algebra and its Applications, 2016
In this present work, the authors establish a new integral identity involving generalized fractional integral operators and by using this fractional-type integral identity, obtain some new Hermite-Hadamard type inequalities for functions whose first ...
Set Erhan, Gözpinar Abdurrahman
doaj   +1 more source

Some new quantum derivatives and integrals with their applications in integral error bounds

Demonstratio Mathematica
Integral inequalities play a crucial role in various areas of numerical analysis, particularly n the development of numerical integration formulas and numerical methods for differential equations.
An Yanrong, Ali Muhammad Aamir, Murtaza Ghulam, Budak Hüseyin, Zhao Dafang   +4 more
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ON AN INEQUALITY OF GRONWALL

, 2000
. In this paper, we obtain some new Gronwall-Bellman type integral inequalities, and we give an application of our results in the study of boundedness of the solutions of nonlinear integrodifferential equations. Key words and phrases: Gronwall inequality,
James Adedayo Oguntuase
core  

Most General Fractional Representation Formula for Functions and Implications [PDF]

, 2014
Here we present the most general fractional representation formulae for a function in terms of the most general fractional integral operators due to S. Kalla, [3], [4], [5].
Anastassiou, George A.
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Trace inequalities for positive operators via recent refinements and reverses of Young’s inequality

Special Matrices, 2018
In this paper we obtain some trace inequalities for positive operators via recent refinements and reverses of Young’s inequality due to Kittaneh-Manasrah, Liao-Wu-Zhao, Zuo-Shi-Fujii, Tominaga and Furuichi.
Dragomir S. S.
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Some new Fejér type inequalities for (h, g; α - m)-convex functions

Open Mathematics
The study of (h,g;α−m)\left(h,g;\hspace{1.42271pt}\alpha -m)-convex functions extends the classical concept of convexity to more generalized forms, which provide flexible tools for analysis.
Farid Ghulam, Kovač Sanja, Pečarić Josip, Penava Mihaela Ribičić   +3 more
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OSTROWSKI-TYPE FRACTIONAL INTEGRAL INEQUALITIES FOR r¡TIMES DIFFERENTIABLE h¡CONVEX FUNCTIONS

, 2021
The authors have tried to prove some Ostrowski-type fractionalintegral inequalities for r¡times differentiable functions and generalizedsome results which were carried out in both [6, 25]. Some applications tospecial means are given.
Sabir Hussain; Department of Mathematics, University of Engineering and Technology Lahore, Faiza Azhar; Department of Mathematics, University of Engineering and Technology Lahore, Muhammad Amer Latif; Department of Basic Sciences, Deanship of Preparatory Year, King Faisal University, Hofuf 31982, Al-Hasa,, Javariya Khalid; Department of Mathematics, University of Engineering and Technology Lahore,   +3 more
core  

An extension of Schweitzer's inequality to Riemann-Liouville fractional integral

Open Mathematics
This note focuses on establishing a fractional version akin to the Schweitzer inequality, specifically tailored to accommodate the left-sided Riemann-Liouville fractional integral operator.
Abdeljawad Thabet, Meftah Badreddine, Lakhdari Abdelghani, Alqudah Manar A.   +3 more
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A new Bihari inequality and initial value problems of first order fractional differential equations. [PDF]

Fract Calc Appl Anal, 2023
Lan K, Webb JRL.
europepmc   +1 more source