Results 61 to 70 of about 229 (167)
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
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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.
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On Katugampola Fractional Operator and Katugampola Pantograph Problems in Jα,β
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper explores and establishes solvability results for a nonlinear Katugampola fractional pantograph initial value problem formulated in the integral‐type Hölder space Jα,β. The constructed model blends generalized fractional dynamics with proportional delay terms, offering a unified setting for studying systems with memory‐dependent behavior.
Mohamed M. A. Metwali +3 more
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On the Generalized Ostrowski Type Integral Inequality for Double Integrals
International Journal of Analysis and Applications, 2017 In this paper, we establish a new generalized Ostrowski type inequality for double integrals involving functions of two independent variables by using fairly elementary analysis.
Mustafa Kemal Yildiz +1 more
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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
On Ostrowski type inequalities and Cebysev type inequalities with applications
Filomat, 2015 In this paper, we obtain some new Ostrowski type inequalities and Cebysev type inequalities for functions whose second derivatives absolute value are convex and second derivatives belongs to Lp spaces. Applications to a composite quadrature rule, to probability density functions, and to special means are also given.
Kiris, Mehmet Eyup +1 more
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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
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On Ostrowski type inequalities for F-convex function
AIP Conference Proceedings, 2017 In this study, we firstly obtain some Ostrowski type inequalities for the function whose derivatives absolute values are F-convex defined by B. Samet. Moreover, we give some previous works with the special cases of the mappings F.
Budak, Hüseyin, Sarıkaya, Mehmet Zeki
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Novel Fractional Simpson–Mercer‐Type Inequalities and Their Applications
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we establish a Mercer‐type identity for the Riemann–Liouville fractional integral. By using this identity, we derive several fractional Simpson–Mercer‐type inequalities for functions whose third derivatives satisfy convexity‐type assumptions in absolute value. Related estimates are also obtained under boundedness and Lipschitz continuity
Arslan Munir +6 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
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