scholarly journals Hermite-Hadamard-Fejér Type Inequalities for Preinvex Functions Using Fractional Integrals

Mathematics ◽  
2019 ◽  
Vol 7 (5) ◽  
pp. 467
Author(s):  
Sikander Mehmood ◽  
Fiza Zafar ◽  
Nusrat Yasmin
Keyword(s):  
Fractional Integrals ◽  
Weighted Estimates ◽  
Right Hand ◽  
Left And Right ◽  
Fejér Inequality ◽  
Preinvex Functions

In this paper, we have established the Hermite–Hadamard–Fejér inequality for fractional integrals involving preinvex functions. The results presented here provide new extensions of those given in earlier works as the weighted estimates of the left and right hand side of the Hermite–Hadamard inequalities for fractional integrals involving preinvex functions doesn’t exist previously.

scholarly journals Hermite-Hadamard-Fejér Inequalities for Conformable Fractional Integrals via Preinvex Functions

2019 ◽  
Vol 2019 ◽  
pp. 1-9 ◽  
Author(s):  
Yousaf Khurshid ◽  
Muhammad Adil Khan ◽  
Yu-Ming Chu ◽  
Zareen Abdulhameed Khan
Keyword(s):  
Fractional Integrals ◽  
Hadamard Inequality ◽  
Right Hand ◽  
Fejér Inequality ◽  
Preinvex Functions ◽  
The Right

In this paper, we present a Hermite-Hadamard-Fejér inequality for conformable fractional integrals by using symmetric preinvex functions. We also establish an identity associated with the right hand side of Hermite-Hadamard inequality for preinvex functions; then by using this identity and preinvexity of functions and some well-known inequalities, we find several new Hermite-Hadamard type inequalities for conformal fractional integrals.

Operational method for solving fractional differential equations with the left-and right-hand sided Erdélyi-Kober fractional derivatives

2020 ◽  
Vol 23 (1) ◽  
pp. 103-125 ◽  
Author(s):  
Latif A-M. Hanna ◽  
Maryam Al-Kandari ◽  
Yuri Luchko
Keyword(s):  
Differential Equation ◽  
Fractional Differential Equation ◽  
Fractional Derivatives ◽  
Fractional Integrals ◽  
Operational Method ◽  
Initial Value ◽  
Right Hand ◽  
Fractional Differential ◽  
Left And Right ◽  
Fractional Integrals And Derivatives

AbstractIn this paper, we first provide a survey of some basic properties of the left-and right-hand sided Erdélyi-Kober fractional integrals and derivatives and introduce their compositions in form of the composed Erdélyi-Kober operators. Then we derive a convolutional representation for the composed Erdélyi-Kober fractional integral in terms of its convolution in the Dimovski sense. For this convolution, we also determine the divisors of zero. These both results are then used for construction of an operational method for solving an initial value problem for a fractional differential equation with the left-and right-hand sided Erdélyi-Kober fractional derivatives defined on the positive semi-axis. Its solution is obtained in terms of the four-parameters Wright function of the second kind. The same operational method can be employed for other fractional differential equation with the left-and right-hand sided Erdélyi-Kober fractional derivatives.

scholarly journals Hermite-Hadamard's inequalities for conformable fractional integrals

2019 ◽  
Vol 9 (1) ◽  
pp. 49-59 ◽  
Author(s):  
Mehmet Zeki Sarıkaya ◽  
Abdullah Akkurt ◽  
Hüseyin Budak ◽  
Merve Esra Yıldırım ◽  
Hüseyin Yıldırım
Keyword(s):  
Fractional Integral ◽  
Fractional Integrals ◽  
Right Hand ◽  
Left And Right ◽  
Conformable Fractional Integral ◽  
Better Than

In this paper, we establish the Hermite-Hadamard type inequalities forconformable fractional integral and we will investigate some integralinequalities connected with the left and right-hand side of theHermite-Hadamard type inequalities for conformable fractional integral. Theresults presented here would provide generalizations of those given inearlier works and we show that some of our results are better than the otherresults with respect to midpoint inequalities.

Visual context differentially mediates left- and right-hand reaching movements

2009 ◽  
Author(s):  
Jos J. Adam ◽  
Susan Hoonhorst ◽  
Rick Muskens ◽  
Jay Pratt ◽  
Martin H. Fischer
Keyword(s):  
Reaching Movements ◽  
Visual Context ◽  
Right Hand ◽  
Left And Right

Asymmetry in emission of photons with left- and right-hand circular polarizations in two-photon decay

2021 ◽  
Vol 104 (1) ◽  
Author(s):  
Konstantin N. Lyashchenko ◽  
Victoria A. Knyazeva ◽  
Oleg Yu. Andreev ◽  
Deyang Yu
Keyword(s):  
Two Photon ◽  
Photon Decay ◽  
Right Hand ◽  
Left And Right

scholarly journals Bounds of Riemann-Liouville Fractional Integrals in General Form via Convex Functions and Their Applications

Mathematics ◽  
2018 ◽  
Vol 6 (11) ◽  
pp. 248 ◽  
Author(s):  
Ghulam Farid ◽  
Waqas Nazeer ◽  
Muhammad Saleem ◽  
Sajid Mehmood ◽  
Shin Kang
Keyword(s):  
Convex Functions ◽  
Fractional Integrals ◽  
Novel Approach ◽  
Left And Right

In this article, we establish bounds of sum of the left and right sided Riemann Liouville (RL) fractional integrals and related inequalities in general form. A new and novel approach is followed to obtain these results for general Riemann Liouville (RL) fractional integrals. Monotonicity and convexity of functions are used with some usual and straight forward inequalities. The presented results are also have connection with some known and already published results. Applications and motivations of presented results are briefly discussed.

scholarly journals Fractional trapezium type inequalities for twice differentiable preinvex functions and their applications

2020 ◽  
Vol 10 (2) ◽  
pp. 226-236
Author(s):  
Artion Kashuri ◽  
Rozana Liko
Keyword(s):  
Integral Operator ◽  
Integral Inequalities ◽  
Fractional Integrals ◽  
Recent Past ◽  
Trapezium Type ◽  
Special Means ◽  
Special Cases ◽  
Type Integral ◽  
Preinvex Functions ◽  
Almost All

Trapezoidal inequalities for functions of divers natures are useful in numerical computations. The authors have proved an identity for a generalized integral operator via twice differentiable preinvex function. By applying the established identity, the generalized trapezoidal type integral inequalities have been discovered. It is pointed out that the results of this research provide integral inequalities for almost all fractional integrals discovered in recent past decades. Various special cases have been identified. Some applications of presented results to special means have been analyzed. The ideas and techniques of this paper may stimulate further research.

Left and Right Hand Distinction for Multi-touch Displays

2011 ◽  
pp. 155-158
Author(s):  
Benjamin Walther-Franks ◽  
Marc Herrlich ◽  
Markus Aust ◽  
Rainer Malaka
Keyword(s):  
Right Hand ◽  
Left And Right

Intermediate-Advanced Level—Part 2

2019 ◽  
pp. 203-222
Author(s):  
Karel Butz
Keyword(s):  
Body Movement ◽  
Harmonic Structure ◽  
Advanced Level ◽  
Right Hand ◽  
Hand Eye Coordination ◽  
Left And Right ◽  
Hand Coordination

The chapter provides several rehearsal concepts that develop stronger rhythmic precision and phrasing concepts within the intermediate-advanced orchestra. Rhythmic precision depends the students’ ability to cognitively interpret and intrinsically feel the rhythmic notation correctly, as well as the students’ ability to maneuver the bow in such a way that the articulation is rhythmically precise. The author discusses ensemble development activities designed to promote better intrinsic pulse, hand-eye coordination with the bow, leadership, listening, and left- and right-hand coordination. In addition, the chapter discusses how beautiful phrasing is developed by listening, singing, using imagery, identifying harmonic structure, and incorporating body movement.

scholarly journals New Riemann–Liouville fractional Hermite–Hadamard type inequalities for harmonically convex functions

2019 ◽  
Vol 9 (2) ◽  
pp. 431-441
Author(s):  
Zeynep Şanlı ◽  
Mehmet Kunt ◽  
Tuncay Köroğlu
Keyword(s):  
Convex Functions ◽  
Fractional Integrals ◽  
Differentiable Functions ◽  
Left And Right ◽  
Harmonically Convex Functions

Abstract In this paper, we proved two new Riemann–Liouville fractional Hermite–Hadamard type inequalities for harmonically convex functions using the left and right fractional integrals independently. Also, we have two new Riemann–Liouville fractional trapezoidal type identities for differentiable functions. Using these identities, we obtained some new trapezoidal type inequalities for harmonically convex functions. Our results generalize the results given by İşcan (Hacet J Math Stat 46(6):935–942, 2014).

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