Results 41 to 50 of about 305,872 (123)
A note on Ostrowski's inequality
Journal of Inequalities and Applications, 2005 This paper deals with the problem of estimating the deviation of the values of a function from its mean value. We consider the following special cases: (i) the case of random variables (attached to arbitrary probability fields); (ii) the comparison is ...
Niculescu Constantin P, Florea Aurelia
doaj
On the Theory of n‐Polynomial ϕ‐Convex Functions
Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper introduces a novel extension of n‐polynomial convex functions, referred to as “n‐polynomial ϕ‐convex functions”. The proposed concept generalizes the existing notion of n‐polynomial convexity introduced in the recent literature. Within this new structural framework, we derive several novel inequalities and show that the absolute derivative ...
Yuanheng Wang +4 more
wiley +1 more source
Some Inequalities in Inner Product Spaces Related to the Generalized Triangle Inequality [PDF]
, 2009 In this paper we obtain some inequalities related to the generalized triangle and quadratic triangle inequalities for vectors in inner product spaces.
Dragomir, Sever S +2 more
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Some Classical Inequalities Associated with Generic Identity and Applications
AxiomsIn this paper, we derive a new generic equality for the first-order differentiable functions. Through the utilization of the general identity and convex functions, we produce a family of upper bounds for numerous integral inequalities like Ostrowski’s ...
Muhammad Zakria Javed +4 more
doaj +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper explores a new class of convexity, namely, strongly n‐polynomial exponential‐type s‐convexity. We developed some basic results related to this convexity including few algebraic properties. Three examples have been provided for the verification of newly introduced convexity.
Khuram Ali Khan +4 more
wiley +1 more source
The Beesack-Darst-Pollard Inequalities and Approximation of the Riemann-Stieltjes Integral [PDF]
, 2007 Utilising the Beesack version of the Darst-Pollard inequality, some error bounds for approximating the Riemann-Stieltjes integral are given.
Dragomir, Sever S, Barnett, Neil S
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Trapezoid Inequality for Operator‐Valued Functions in Hilbert Spaces
Journal of Mathematics, Volume 2026, Issue 1, 2026.Let K;·,· denote a complex Hilbert space, and let LK represent the Banach C∗‐algebra of bounded linear operators acting on K. For any operator A∈LK, the modulus is defined by A:=A∗A12/. The primary contribution of this work is the derivation of the following significant result: Assuming ζ:δ1,δ2⟶C is an integrable function and T:δ1,δ2⟶LK is a strongly ...
Salma Aljawi +4 more
wiley +1 more source
A Companion of Ostrowski’s Inequality for Functions of Bounded Variation and Applications [PDF]
, 2002 A companion of Ostrowski’s inequality for functions of bounded variation and applications are ...
Dragomir, Sever S
core
New Bounds on Hermite–Hadamard–Mercer‐Type Inequalities: Applications and Computational Analysis
Journal of Mathematics, Volume 2026, Issue 1, 2026.In mathematical analysis, the theory of inequalities plays a fundamental role due to its wide‐ranging applications in various fields of the physical sciences. In this paper, we develop new Hermite–Hadamard–Mercer‐type inequalities involving a broad class of fractional integral operators, including both classical and Caputo–Fabrizio fractional integrals.
Muhammad Muawwaz +5 more
wiley +1 more source
Differences Between Means with Bounds from a Riemann-Stieltjes Integral [PDF]
, 2001 An identity for the difference between two integral means is obtained in terms of a Riemann-Stieltjes integral.
Cerone, Pietro, Dragomir, Sever S
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