Results 1 to 10 of about 5,154,853 (135)
Journal of MathematicsIn 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 +3 more
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Weighted Inequalities of Milne-Type and Applications: Bridging Classical and Fractional Integrals
Journal of Function SpacesIn 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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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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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 +2 more
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Demonstratio Mathematica, 2020 In this article, we present a sufficient condition about the length of the interval for the existence and uniqueness of mild solutions to a fractional boundary value problem with Sturm-Liouville boundary conditions when the data function is of ...
Harjani Jackie +2 more
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Existence results for ABC-fractional BVP via new fixed point results of F-Lipschitzian mappings
Demonstratio Mathematica, 2022 In this article, fixed point results for self-mappings in the setting of two metrics satisfying FF-lipschitzian conditions of rational-type are proved, where FF is considered as a semi-Wardowski function with constant τ∈R\tau \in {\mathbb{R}} instead of ...
Mehmood Nayyar +3 more
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Mathematics, 2023 A certain class of nonlinear differential equations representing a generalized Van der Pol oscillator is proposed in which we study the behavior of the existing solution.
Safia Meftah +6 more
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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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On Estimation of the Bullen-Mercer Inequality for Several Classes [PDF]
Sahand Communications in Mathematical AnalysisThis study establishes Bullen-Mercer type inequalities for $h$-convex functions that use Riemann-Liouville fractional operators. The subject matter is a novel fractional version of the existing Bullen-Mercer type inequalities, with simple computations ...
Ahmed Hallouz +2 more
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Journal of Applied Mathematics, 2015 Consider the variational inequality VI(C,F) of finding a point x*∈C satisfying the property 〈Fx*,x-x*〉≥0 for all x∈C, where C is a level set of a convex function defined on a real Hilbert space H and F:H→H is a boundedly Lipschitzian (i.e., Lipschitzian ...
Caiping Yang, Songnian He
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