Results 91 to 100 of about 1,029 (208)
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
Chebychev Functional Bounds Using Ostrowski Seminorms [PDF]
, 2001 Bounds are obtained for the Chebychev functional using what is termed as the Ostrowski seminorm which is related to an inequality developed by Ostrowski.
Cerone, Pietro, Dragomir, Sever S
core
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
An Ostrowski Type Inequality for Double Integrals and Applications for Cubature Formulae [PDF]
, 2001 An inequality of the Ostrowski type for double integrals and applications in Numerical Analysis in connection with cubature formulae are ...
Dragomir, Sever S, Barnett, Neil S
core
New Ostrowski and Gr¨uss Type Inequalities [PDF]
, 2015 [[abstract]]The aim of this note is to establish new Ostrowski and Gr¨uss type inequalities involving three functions. The analysis used in the proof is elementary and our results provide new estimates on these types of ...
B. G. Pachpatte
core
Approximating the Stieltjes Integral for (φ, ф)-Lipschitzian Integrators and Applications [PDF]
, 2007 Approximations for the Stieltjes integral with (φ, ф)−Lipschitzian integrators are given. Applications for the Riemann integral of a product and for the generalised trapezoid and Ostrowski inequalities are also ...
Dragomir, Sever S
core
An Ostrowski Type Inequality for Weighted Mappings with Bounded Second Derivatives [PDF]
, 1998 A weighted integral inequality of Ostrowski type for mappings whose second derivatives are bounded is proved.
Roumeliotis, John +2 more
core
On Ostrowski-Type Inequalities via Strong s-Godunova-Levin Functions
Journal of New Theory, 2021 In this paper, we first introduce a new class of convex functions called strong s-Godunova-Levin functions, which encompass the strong Godunova-Levin, s-Godunova-Levin, and Godunova-Levin function classes. By relying on the identity given by Cerone et al.
Assia Azaizia, Badreddine Meftah
doaj
Trapezoidal Type Rules from an Inequalities Point of View [PDF]
, 1999 The article investigates trapezoid type rules and obtains explicit bounds through the use of a Peano kernel approach and the modern theory of inequalities. Both Riemann-Stieltjes and Riemann integrals are evaluated with a variety of assumptions about the
Cerone, Pietro, Dragomir, Sever S
core
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