Derivation of bounds of several kinds of operators via (s,m)-convexity [PDF]
, 2020 The objective of this paper is to derive the bounds of fractional and conformable integral operators for (s,m)-convex functions in a unified form. Further, the upper and lower bounds of these operators are obtained in the form of a Hadamard inequality ...
Farid, Ghulam +4 more
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Generalizations of some integral inequalities for fractional integrals [PDF]
, 2017 In this paper we give generalizations of the Hadamard-type inequalities for fractional integrals.
Farid, Ghulam, ur Rehman, Atiq
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Majorization-Type Integral Inequalities Related to a Result of Bennett with Applications
MathematicsIn this paper, starting from abstract versions of a result of Bennett given by Niculescu, we derive new majorization-type integral inequalities for convex functions using finite signed measures.
László Horváth
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Desigualdad del tipo Fejér para funciones m-convexas [PDF]
, 2018 In this paper we present some generalizations of the classical inequalities of Fejér for m-convex functions.En este artículo presentamos algunas generalizaciones de las desigualdades clásicas de Fejér para funciones m ...
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Estimation type results related to Fejér inequality with applications [PDF]
, 2018 This paper deals with some new theorems and inequalities about a Fejér type integral inequality which estimate the difference between the right and middle part in Fejér inequality with new bounds.
De La Sen, M +2 more
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(R1895) On Refinements and Generalizations of Hadamard Inequalities for Riemann-Liouville (R-L) Integrals [PDF]
, 2022 The Hadamard inequality is a graphical interpretation of convex functions in the coordinate plane. We give its different variants for (R-L) fractional integrals of strongly exponentially (α, h − m)- convex functions.
Bibi, Sidra, Farid, Ghulam
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Ohlin and Levin-Stečkin-type results for strongly convex functions [PDF]
, 2020 Counterparts of the Ohlin and Levin–Stečkin theorems for strongly convex functions are proved. An application of these results to obtain some known inequalities related with strongly convex functions in an alternative and unified way is ...
Nikodem, Kazimierz, Rajba, Teresa
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Hermite-Hadamard type inequalities, convex stochastic processes and Katugampola fractional integral [PDF]
, 2018 In this work we present some Hermite-Hadamard type inequalities for convex Stochastic Processes using the Katugampola fractional integral, and from these results specific cases are deduced for the Riemann-Liouville fractional integral and Riemann ...
Jorge E. Hernández H. +1 more
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Strongly ( η , ω ) $(\eta ,\omega )$ -convex functions with nonnegative modulus
Journal of Inequalities and Applications, 2020 We introduce a new class of functions called strongly ( η , ω ) $(\eta,\omega)$ -convex functions. This class of functions generalizes some recently introduced notions of convexity, namely, the η-convex functions and strongly η-convex functions.
Ana M. Tameru +2 more
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Hermite-Hadamard type inequalities for (m, M)-Ψ-convex functions when Ψ = -ln [PDF]
, 2018 In this paper we establish some Hermite-Hadamard type inequalities for (m, M)-Ψ-convex functions when Ψ=- ln.
Dragomir, Sever S, Gomm, I
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