Results 41 to 50 of about 229 (165)
On Hermite–Hadamard–Fejér Inequalities Within Postquantum Coordinate Frameworks
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
wiley +1 more source
Generalization and improvement of Ostrowski type inequalities
The goal of this study to obtain the new generalization of Ostrowski inequality for bounded functions by using new generalized Montgomery identity which is proved. The results presented here would provide extensions of those given in earlier works.
Sarikaya, Mehmet Zeki +1 more
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Generalizations of some inequalities of Ostrowski-Grüss Type [PDF]
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Pearce, C. E. M. +3 more
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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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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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New Weighted Ostrowski Type Inequalities for Mappings Whose nth Derivatives Are of Bounded Variation
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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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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An inequality of the Ostrowski type for double integrals and applications in Numerical Analysis in connection with cubature formulae are given.
S.S. Dragomir, N.S. Barnett, P. Cerone
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The objective of this article is to incorporate the concept of the Ostrowski inequality with the Atangana–Baleanu fractional integral operator. A novel integral identity for twice-differentiable functions is established after a rigorous investigation of ...
Soubhagya Kumar Sahoo +4 more
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Improvement of Some Hayashi–Ostrowski Type Inequalities with Applications in a Probability Setting
Different types of mathematical inequalities have been largely analyzed and employed. In this paper, we introduce improvements to some Ostrowski type inequalities and present their corresponding proofs.
Mohammad W. Alomari +3 more
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