Results 1 to 10 of about 181 (130)

Newton-Type Inequalities in the Context of Generalized Fractional Integrals via Several Function Classes

Journal of Mathematics
In this paper, we investigate some new Newton-type inequalities involving generalized fractional integrals by using different function classes. For this aim, we first prove an identity for differentiable functions.
İrem Çay, Hüseyin Budak, İrem Bağlan, Ercan Çelik   +3 more
doaj   +2 more sources

Weighted Inequalities of Milne-Type and Applications: Bridging Classical and Fractional Integrals

Journal of Function Spaces
In this study, weighted Milne-type inequalities are derived for classical integrals, and by selecting special weight functions, several Milne-type inequalities are presented for well-known fractional integrals, such as Riemann–Liouville fractional ...
Hüseyin Budak
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Sharp Estimation Type Inequalities for Lipschitzian Mappings in Euclidean Sense on a Disk

Journal of Function Spaces, 2021
Some sharp trapezoid and midpoint type inequalities for Lipschitzian bifunctions defined on a closed disk in Euclidean sense are obtained by the use of polar coordinates. Also, bifunctions whose partial derivative is Lipschitzian are considered.
M. Rostamian Delavar, S. S. Dragomir, M. De La Sen   +2 more
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Representation of standard Liebchtz functions under a microscope [PDF]

مجلة التربية والعلم, 2012
The aim of this paper is to provide a representation of a standard lipschitzian functions by mean of a microscope. More precisely, under certain conditions, the following results have been obtained.
Taher Ismail, Hind Saleh
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A biparameterized analysis of integral inequalities for bounded and holderian mappings

Journal of Innovative Applied Mathematics and Computational Sciences, 2023
In this study, we introduce a new parameterized identity that generates a series of Newton-Cotes formulas for one, two, three, and four points. We then derive several novel Newton-Cotes-type inequalities for functions with bounded and rr-LL-H\"{o ...
Djaber Chemseddine, Benchettah, Bouchareb Meriem, Lakhdari Abdelghani, Meftah Badreddine   +3 more
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Nonlinear problems with asymmetric principal part

Mathematical Modelling and Analysis, 2012
The boundary value problem  is considered provided that f : [0, +∞) → [0, +∞) is Lipschitzian and  is continuous and Lipschitzian in xand x′. We assume that f is bounded by two linear functions kx and lx, where k > l > 0, and h is bounded.
Armands Gritsans, Felix Sadyrbaev
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On Integral Inequalities Involving Generalized Lipschitzian Functions

Journal of Function Spaces, 2020
A new class of mappings that includes the class of Lipschitzian mappings is introduced. For this kind of mappings, new integral inequalities of Hadamard’s type are obtained.
Mohaemd Jleli, Bessem Samet
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Inequalities of Čebyšev Type for Lipschitzian Functions in Banach Algebras

Annals of the West University of Timisoara: Mathematics and Computer Science, 2016
In this paper we give some Čebyšev type norm inequalities for two Lipschitzian functions on Banach algebras.
Boldea Marius V.
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Local Sharp Vector Variational Type Inequality and Optimization Problems

Mathematics, 2020
In this paper, our goal was to establish the relationship between solutions of local sharp vector variational type inequality and sharp efficient solutions of vector optimization problems, also Minty local sharp vector variational type inequality and ...
Jong Kyu Kim, Salahuddin
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On the reduced-set pareto-lipschitzian optimization

Computational Science and Techniques, 2013
A well-known example of global optimization that provides solutions within fixed error limits is optimization of functions with a known Lipschitz constant. In many real-life problems this constant is unknown.
Jonas Mockus, Remigijus Paulavičius
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