Results 71 to 80 of about 21,859 (214)
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
A General Ostrowski Type Inequality for Double Integrals
, 2000 Some generalisations of an Ostrowski Type Inequality in two dimensions for n-time differentiable mappings are given. The result is an Integral Inequality with bounded n-time derivatives.
Hanna, George T +2 more
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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
Ostrowski Type Inequality for Absolutely Continuous Functions on Segments in Linear Spaces
, 2007 An Ostrowski type inequality is developed for estimating the deviation of the integral mean of an absolutely continuous function, and the linear combination of its values at k + 1 partition points, on a segment of (real) linear spaces.
Dragomir, Sever S +2 more
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Journal of Function Spaces, Volume 2025, Issue 1, 2025.The connection between generalized convexity and analytic operators is deeply rooted in functional analysis and operator theory. To put the ideas of preinvexity and convexity even closer together, we might state that preinvex functions are extensions of convex functions. Integral inequalities are developed using different types of order relations, each
Zareen A. Khan +2 more
wiley +1 more source
An Ostrowski Type Inequality for Convex Functions
, 2002 An Ostrowski type integral inequality for convex functions and applications for quadrature rules and integral means are given. A refinement and a counterpart result for Hermite-Hadamard inequalities are obtained and some inequalities for pdf’s and (HH ...
Dragomir, Sever S
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A trapezoid type inequality for double integrals
, 2000 In this paper, we point out a trapezoid like inequality for double integrals and apply it in connection with the Gruss ...
N.S. Barnett +3 more
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Multivariate fractional Ostrowski type inequalities
Computers & Mathematics with Applications, 2007 AbstractOptimal upper bounds are given for the deviation of a value of a multivariate function of a fractional space from its average, over convex and compact subsets of RN,N≥2. In particular we work over rectangles, balls and spherical shells. These bounds involve the supremum and L∞ norms of related multivariate fractional derivatives of the function
openaire +1 more source
Generalization of q‐Integral Inequalities for (α, ℏ − m)‐Convex Functions and Their Refinements
Journal of Function Spaces, Volume 2025, Issue 1, 2025.This article finds q‐ and h‐integral inequalities in implicit form for generalized convex functions. We apply the definition of q − h‐integrals to establish some new unified inequalities for a class of (α, ℏ − m)‐convex functions. Refinements of these inequalities are given by applying a class of strongly (α, ℏ − m)‐convex functions. Several q‐integral
Ria H. Egami +5 more
wiley +1 more source
, 1998 We give new trapezoid inequality as well as Simpson and Ostrowski type inequalities for monotonic functions.
Pecaric, Josep +2 more
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