Results 41 to 50 of about 229 (167)
An Ostrowski Type Inequality for Twice Differentiable Mappings and Applications
Mathematical Modelling and Analysis, 2016 We establish an Ostrowski type inequality for mappings whose second derivatives are bounded, then some results of this inequality that are related to previous works are given.
Samet Erden +2 more
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General Opial Type Inequality and New Green Functions
Axioms, 2022 In this paper we provide many new results involving Opial type inequalities. We consider two functions—one is convex and the other is concave—and prove a new general inequality on a measure space (Ω,Σ,μ).
Ana Gudelj +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper develops a family of Hermite–Hadamard–Mercer‐type inequalities within the framework of generalized conformable fractional calculus. By interpreting generalized conformable fractional integrals as weighted integral means depending on the order parameter, we derive refined two‐sided bounds for coordinated convex functions that incorporate ...
Jen Chieh Lo, Mohammad Rezwan Habib
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On Hermite–Hadamard–Fejér Inequalities Within Postquantum Coordinate Frameworks
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this paper, we investigate new forms of Hermite–Hadamard–Fejér type inequalities on the coordinates within the framework of postquantum (p,q)‐calculus. By extending the classical Hermite–Hadamard–Fejér inequalities to the setting of coordinated convex functions, we establish several novel integral inequalities involving (p,q)‐derivatives and (p,q ...
Jen Chieh Lo, Lei Su
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BETTER BOUNDS FOR AN INEQUALITY OF THE OSTROWSKI TYPE WITH APPLICATIONS [PDF]
Demonstratio Mathematica, 2001 The authors improve an Ostrowski type inequality due to Matić, Pečarić and Ujević and apply it in the theory of special means, as well as in the theory of cumulative probability functions. The method is essentially based on the so-called Korkine identity: \[ \begin{multlined} {1\over b-a} \int^b_a g(t) h(t) dt- {1\over b-a} \int^b_a g(t) dt\cdot{1\over
Barnett, Neil S +2 more
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Arab Journal of Mathematical Sciences, 2015 In this paper, we obtain some companions of Ostrowski type inequality for absolutely continuous functions whose second derivatives absolute values are convex and concave. Finally, we give some applications for special means.
M. Emin Özdemir, Merve Avci Ardic
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.The Hermite–Hadamard inequality, which is widely recognized and studied in the field of inequalities, and the k‐Riemann–Liouville fractional integral inequality, which is a generalization of the Riemann–Liouville fractional operator in operator theory, play a significant role in the existing literature concerning the concept of inequality.
Çetin Yıldız +4 more
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Ostrowski type inequalities for convex functions
Tamkang Journal of Mathematics, 2014 In this paper, we obtain Ostrowski type inequalities for convex functions.
Özdemir, M. Emin +2 more
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New Weighted Ostrowski Type Inequalities for Mappings Whose nth Derivatives Are of Bounded Variation
International Journal of Analysis and Applications, 2016 We establish a new generalization of weighted Ostrowski type inequality for mappings of bounded variation. Spacial cases of this inequality reduce some well known inequalities.
Huseyin Budak +2 more
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this paper, we give an identity for the function which is twice differentiable. Through the applications of this identity and Atangana–Baleanu–Katugampola (ABK) fractional integrals, several fractional Milne‐type inequalities are derived for functions whose second derivatives inside the absolute value are convex. Furthermore, the table has also been
Muhammad Bilal Ahmed +4 more
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