Results 91 to 100 of about 978 (185)
MathematicsThe goal of this study is to develop numerous Hermite–Hadamard–Mercer (H–H–M)-type inequalities involving various fractional integral operators, including classical, Riemann–Liouville (R.L), k-Riemann–Liouville (k-R.L), and their generalized fractional ...
Talib Hussain +2 more
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A study of new quantum Montgomery identities and general Ostrowski like inequalities
Ain Shams Engineering JournalThe main objective of this paper is to analyze the Montgomery identities and Ostrowski like inequalities, within the framework of quantum calculus. The study utilizes qϖ3 and qϖ4 differentiable functions to establish two new Montgomery identities, which ...
Muhammad Uzair Awan +4 more
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On Some Analogues of Ky Fan-type Inequalities [PDF]
, 2003 We study the behavior of means under equal increments of their variables and we apply the results to Ky Fan-type inequalities and certain bounds for the differences of means.
Peng Gao, Gao, Peng
core
Extensions of Steffensen's Inequality
, 2000 We offer a new proof of the well-known Steffensen Inequality, whose context is sufficiently general that it engenders a number of ...
Mercer, Peter R.
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Generalized Jensen and Jensen–Mercer inequalities for strongly convex functions with applications
Journal of Inequalities and ApplicationsStrongly convex functions as a subclass of convex functions, still equipped with stronger properties, are employed through several generalizations and improvements of the Jensen inequality and the Jensen–Mercer inequality.
Slavica Ivelić Bradanović +1 more
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A version of Hermite-Hadamard-Mercer inequality and associated results
Ain Shams Engineering JournalOver the past decade, the Hermite-Hadamard inequality has attracted significant attention from mathematicians, leading to the development of various extensions and generalizations involving different fractional operators, stochastic processes ...
Zhenglin Zhang +5 more
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Fractal and FractionalThe goal of this paper is to use a Boole-type inequality framework to provide better estimates for differentiable functions. Using majorization theory, fractional integral operators are incorporated into a new auxiliary identity.
Saad Ihsan Butt +2 more
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Generalizations of Jensen-Mercer's inequality
Journal of pure and applied mathematics : advances and applications, 2014 The article deals with the generalizations of Jensen-Mercer's inequality using affine combinations which can be represented as convex combinations. The generalized Jensen-Mercer's inequality is also obtained for the convex function of several variables applying affine combinations of the simplex.
openaire +2 more sources
New estimates on generalized Hermite–Hadamard–Mercer-type inequalities
Boundary Value ProblemsThe concept of a convex function plays a crucial role in fields of mathematical analysis and inequality theory. The importance of convex functions is exemplified by Mercer’s inequality.
Çetin Yıldız +4 more
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Further Jensen--Mercer's type inequalities for convex functions
Journal of Mathematical InequalitiesSummary: This article considers the class of convex functions and derives further Jensen-Mercer'stype inequalities. The obtained results improve and generalize some known inequalities. A reverse of Jesnen-Mercer's inequality for scalars and operators is also given.
Mohebbi, Faezeh Parvin +4 more
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