Results 71 to 80 of about 887 (159)
Demonstratio Mathematica, 2023 In this article, we have established some new bounds of Fejér-type Hermite-Hadamard inequality for kk-fractional integrals involving rr-times differentiable preinvex functions.
Zafar Fiza, Mehmood Sikander, Asiri Asim
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, 2015 In our previous paper [15], using s -convex stochastic ordering [4], we investigate Hermite-Hadamard-Fejer type inequalities in the case of higher order convex functions.
T. Rajba
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Steklov Type Operators and Functional Equations
Annales Mathematicae SilesianaeWe consider sequences of Steklov type operators and an associated functional equation. For a suitable sequence, we establish asymptotic formulas.
Motronea Gabriela +2 more
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On a generalization of the Opial inequality
Demonstratio MathematicaInequalities are essential in pure and applied mathematics. In particular, Opial’s inequality and its generalizations have been playing an important role in the study of the existence and uniqueness of initial and boundary value problems.
Bosch Paul +3 more
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Fractional Hermite-Hadamard inequalities for (α,m)-logarithmically convex functions
Journal of Inequalities and Applications, 2013 By means of two fundamental fractional integral identities, we derive two classes of new Hermite-Hadamard type inequalities involving Riemann-Liouville fractional integrals for once and twice differentiable (α,m)-logarithmically convex functions ...
J. Deng, Jinrong Wang
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SOME NEW CLASSES OF CONVEX FUNCTIONS AND INEQUALITIES
, 2018 In this article, we introduce some new class of convex functions involving two arbitrary auxiliary functions h1;h2 W I ! R; which are called .h1;h2/-convex functions. We derive some new integral inequalities for these classes of convex functions. We also
M. U. Awan +3 more
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Integral inequalities of Hermite-Hadamard type for functions whose third derivatives are convex
Journal of Inequalities and Applications, 2013 In the paper, the authors establish some new inequalities of Hermite-Hadamard type for functions whose third derivatives are convex. MSC: 26D15, 26A51, 41A55.
Ling Chun, Feng Qi (祁锋)
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Generalizations of Steffensen’s inequality via the extension of Montgomery identity
Open Mathematics, 2018 In this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by using extension of Montgomery identity via Taylor’s formula. Since 1-convex functions are nondecreasing functions, new inequalities generalize Stefensen’s
Aljinović Andrea Aglić +2 more
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Demonstratio MathematicaThis article is mainly concerned to link the Hermite-Hadamard and the Jensen-Mercer inequalities by using majorization theory and fractional calculus. We derive the Hermite-Hadamard-Jensen-Mercer-type inequalities in conticrete form, which serve as both ...
Wu Shanhe +4 more
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New Type Integral Inequalities for Three Times Differentiable Preinvex and Prequasiinvex Functions
Open Journal of Mathematical Analysis, 2018 In this paper, a new identity for functions defined on an open invex subset of set of real numbers is established, and by using the this identity and the Hölder and Power mean integral inequalities we present new type integral inequalities for functions ...
H. Kadakal +3 more
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