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INEQUALITIES INVOLVING SPECIAL FUNCTIONS IN CONFORMABLE FRACTIONAL INTEGRALS
  • Abdullah AKKURT
Abdullah AKKURT
Kahramanmaras Sutcu Imam Universitesi Fen Edebiyat Fakultesi

Corresponding Author:[email protected]

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Abstract

In this manuscript, we elucidate essential connections associated with the ( α , k ) − gamma and ( α , k ) − beta functions, initially introduced by Sarikaya et al. in their work as referenced in [14]. Our investigation includes the establishment of numerous conformable fractional integral inequalities, extending those previously established for the k−gamma and k−beta functions. Furthermore, we provide rigorous proofs affirming the log-convex nature of both the ( α , k ) − gamma and ( α , k ) − beta functions.
Submitted to Mathematical Methods in the Applied Sciences
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