Results 81 to 90 of about 1,029 (208)
Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.Abstract Let φ$\varphi$ be a univalent non‐elliptic self‐map of the unit disc D$\mathbb {D}$ and let (ψt)$(\psi _{t})$ be a continuous one‐parameter semigroup of holomorphic functions in D$\mathbb {D}$ such that ψ1≠idD$\psi _{1}\ne {\sf id}_\mathbb {D}$ commutes with φ$\varphi$.
Manuel D. Contreras +2 more
wiley +1 more source
Ostrowski Type Inequalities for Functions whose Modulus of the Derivatives are Convex and Applications [PDF]
, 2001 Some inequalities of the Ostrowski type for functions whose modulus of derivatives are convex and applications for special means and to the f and HH−divergences in Information theory are ...
Pinheiro, M. R +4 more
core
On multiparametrized integral inequalities via generalized α‐convexity on fractal set
Mathematical Methods in the Applied Sciences, Volume 48, Issue 1, Page 980-1002, 15 January 2025.This article explores integral inequalities within the framework of local fractional calculus, focusing on the class of generalized α$$ \alpha $$‐convex functions. It introduces a novel extension of the Hermite‐Hadamard inequality and derives numerous fractal inequalities through a novel multiparameterized identity.
Hongyan Xu +4 more
wiley +1 more source
New Inequalities of Simpson's Type for s-Convex Functions with Applications [PDF]
, 2009 In terms of the first derivative, some inequalities of Simpson’s type based on s-convexity and concavity are introduced. Best Midpoint type inequalities are given.
Dragomir, Sever S +2 more
core
Generalizations of Steffensen’s inequality via the extension of Montgomery identity
Open Mathematics, 2018 In this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by using extension of Montgomery identity via Taylor’s formula. Since 1-convex functions are nondecreasing functions, new inequalities generalize Stefensen’s
Aljinović Andrea Aglić +2 more
doaj +1 more source
Multiplicative Harmonic P‐Functions With Some Related Inequalities
Journal of Function Spaces, Volume 2025, Issue 1, 2025.This manuscript includes the investigation of the idea of a multiplicative harmonic P‐function and construction of the Hermite–Hadamard inequality for such a sort of functions. We also establish several Hermite–Hadamard type inequalities in the setting of multiplicative calculus.
Serap Özcan +4 more
wiley +1 more source
An Inequality of Ostrowski-Grüss Type for Twice Differentiable Mappings and Applications in Numerical Integration [PDF]
, 1998 In this paper we derive a new integral inequality of Ostrowski-Grüss type and apply it to estimate the error bounds for some numerical quadrature ...
Roumeliotis, John +2 more
core
On generalizations of some integral inequalities via lidstone green functions
Mathematical and Computer Modelling of Dynamical SystemsIn this paper, we generalize the classical Hermite-Hadamard, Ostrowski, and Simpson type integral inequalities by using Lidstone interpolation polynomials and their associated Green functions.
Rubayyi T. Alqahtani +1 more
doaj +1 more source
High order Ostrowski type inequalities
Applied Mathematics Letters, 2007 By using a generalized Euler type identity and the way of analysis, the Ostrowski inequality is extended for high-order derivatives. Some of the inequalities produced are sharp. Some applications to trapezoidal and mid-point rules are given. For some particular integers, some estimates are given with respect to \(L_\infty\)-norm.
openaire +1 more source
Fuzzy Ostrowski type inequalities [PDF]
Computational & Applied Mathematics, 2003 We present optimal upper bounds for the deviation of a fuzzy continuous function from its fuzzy average over [a,b] I R, error is measured in the D-fuzzy metric. The established fuzzy Ostrowski type inequalities are sharp, in fact attained by simple fuzzy real number valued functions.
openaire +3 more sources