Results 71 to 80 of about 583 (211)
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
core
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
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
core
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
core +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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Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 Using two-point Abel-Gontscharoff interpolating polynomial some new generalizations of Steffensen’s inequality for n−convex functions are obtained and some Ostrowski-type inequalities related to obtained generalizations are given.
Pečarić Josip +2 more
doaj +1 more source
An Inequality of the Ostrowski Type For Double Integrals and Applications for Cubature Formulae
, 1999 We point out a new inequality of the Ostrowski type for mappings of two independent variables, which complements, in a sense, some recent results and apply it to the approximation problem of double integrals by their Riemann ...
Roumeliotis, John +3 more
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